practice probability problems for statistics

Practice Test Questions

Basic Probability and Statistics Quick Review and Practice Questions

Simple Probability and Statistics – A Quick Review

The probability of an event is given by –

The Number Of Ways Event A Can Occur The total number Of Possible Outcomes

So for example if there are 4 red balls and 3 yellow balls in a bag, the probability of choosing a red ball will be 4/7

Another example:

In a certain game, players toss a coin and roll a dice. A player wins if the coin comes up heads, or the dice with a number greater than 4. In 20 games, how many times will a player win?

a. 13 b. 8 c. 11 d. 15

Correct Answer: A

First determine the possible number of outcomes, the sample space of this event will be:

S = { (H,1),(H,2),(H,3),(H,4),(H,5),(H,6) (T,1),(T,2),(T,3),(T,4),(T,5),(T,6) }

So there are a total of 12 outcomes and 8 winning outcomes. The probability of a win in a single event is P (W)

= 8/12 = 2/3. In 20 games the probability of a win = 2/3 × 20 = 13

practice probability problems for statistics

Basic Probability and Statistics Practice Questions

1. There are 3 blue, 1 white and 4 red identical balls inside a bag. If it is aimed to take two balls out of the bag consecutively, what is the probability to have 1 blue and 1 white ball?

a. 3/28 b. 1/12 c. 1/7 d. 3/7

2. A boy has 4 red, 5 green and 2 yellow balls. He chooses two balls randomly for play. What is the probability that one is red and other is green?

a. 2/11 b. 19/22 c. 20/121 d. 9/11

3. There are 5 blue, 5 green and 5 red books on a shelf. Two books are selected randomly. What is the probability of choosing two books of different colors?

a. 1/3 b. 2/5 c. 4/7 d. 5/7

4. How many different ways can a reader choose 3 books out of 4, ignoring the order of selection?

a. 3 b. 4 c. 9 d. 12

5. There is a die and a coin. The dice is rolled and the coin is flipped according to the number the die is rolled. If the die is rolled only once, what is the probability of 4 successive heads?

a. 3/64 b. 1/16 c. 3/16 d. 1/4

6. Smith and Simon are playing a card game. Smith will win if the drawn card form the deck of 52 is either 7 or a diamond, and Simon will win if the drawn card is an even number. Which statement is more likely to be correct?

a. Smith will win more games. b. Simon will win more games. c. They have same winning probability. d. Decision could not be made from the provided data.

7. A box contains 30 red, green and blue balls. The probability of drawing a red ball is twice the other colors due to its size. The number of green balls are 3 more than twice the number of blue balls, and blue are 5 less than the twice the red. What is the probability that 1 st two balls drawn from the box randomly will be red?

a. 10/102 b. 11/102 c. 1/29 d. 1/30

8. Sarah has two children and we know that she has a daughter. What is the probability that the other child is a girl as well?

a. 1/4 b. 1/3 c. 1/2 d. 1

Basic Probability and Statistics Answer Key

1. A There are 8 balls in the bag in total. It is important that two balls are taken out of the bag one by one. We can first take the blue then the white, or first white, then the blue. So, we will have two possibilities to be summed up. Since the balls are taken consecutively, we should be careful with the total number of balls for each case:

First blue, then white ball: There are 3 blue balls; so, having a blue ball is 3/8 possible. Then, we have 7 balls left in the bag. The possibility to have a white ball is 1/7.

P = (3/8) * (1/7) = 3/56

First white, then blue ball: There is only 1 white ball; so, having a white ball is 1/8 possible. Then, we have 7 balls left in the bag. The possibility to have a blue ball is 3/7.

P = (1/8) * (3/7) = 3/56

Overall probability is: 3/56 + 3/56 = 3/28

2. A Probability that the 1st ball is red: 4/11 Probability the 2nd ball is green: 5/10 Combined probability is 4/11 * 5/10 = 20/110 = 2/11

3. D Assume that the first book chosen is red. Since we need to choose the second book in green or blue, there are 10 possible books to be chosen out of 15 – 1(that is the red book chosen first) = 14 books. There are equal number of books in each color, so the results will be the same if we think that blue or green book is the first book.

So, the probability will be 10/14 = 5/7.

4. B Ignoring the order means this is a combination problem, not permutation. The reader will choose 3 books out of 4. So, C(4, 3) = 4! / (3! * (4 – 3)!) = 4! / (3! * 1!) = 4

There are 4 different ways. Ignoring the order means this is a combination problem, not permutation. The reader will choose 3 books out of 4. So,

C(4, 3) = 4! / (3! * (4 – 3)!) = 4! / (3! * 1!) = 4

There are 4 different ways.

5. A If the die is rolled for once, it can be 4, 5 or 6 since we are searching for 4 successive heads. We need to think each case separately. There are two possibilities for a coin; heads (H) or tails (T), each possibility of 1/2; we are searching for H. The possibility for a number to appear on the top of the die is 1/6. Die and coin cases are disjoint events. Also, each flip of coin is independent from the other:

Die: 4 coin: HHHH : 1 permutation P = (1/6) * (1/2) * (1/2) * (1/2) * (1/2) = (1/6) * (1/16)

Die: 5 coin: HHHHT, THHHH, HHHHH : 3 permutations P = (1/6) * 3 * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = (1/6) * (3/32)

Die: 6 coin: HHHHTT, TTHHHH, THHHHT, HHHHHT, THHHHH, HTHHHH, HHHHTH, HHHHHH : 8 permutations P = (1/6) * 8 * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = (1/6) * (8/64)

The overall probability is: Pall = (1/6) * (1/16) + (1/6) * (3/32) + (1/6) * (8/64) = (1/6) * (1/16 + 3/32 + 8/64) = (1/6) * (4 + 6 + 8) / 64 = (1/6) * (18/64) = 3/64

6. B There are 52 cards in total. If we closely observe Smith has 16 cards in which he can win. So his winning probability in a single game will be 16/52 on the other hand Simon has 20 cards of wining so his probability on win in single draw is 20/52.

7. A Let the number of red balls be x Then number of blue balls = 2x – 5 Then number of green balls= 2(2x – 5) + 3 = 4x – 10 + 3

= 4x – 7

As there are total 30 balls so the equation becomes x + 2x – 5 + 4x – 7 = 30 x = 6 Red balls are 6, blue are 7 and green are 17. As the probability of drawing a red ball is twice than the others, let’s take them as 12. So the total number of balls will be 36.

Probability of drawing the 1st red: 12/36 Probability of drawing the 2nd red: 10/34 Combined probability = 12/36 X 10/34 = 10/102

8. B At first glance; we can think that a child can be either a girl or a boy, so the probability for the other child to be a girl is 1/2. However, we need to think deeper. The combinations of two children can be as follows:

boy + girl boy + boy girl + boy girl + girl So, the sample space is S = {BG, BB, GB, GG} where the sequence is important. Sarah has a girl; this is the fact. So, calling this as event A, here are the possibilities:

boy + girl girl + boy girl + girl

We eliminate boy + boy, since one child is a girl. A = {BG, GB, GG} The event that Sarah has two girls: B = {GG} We need to compute: P(B|A. = P(B ∩ A. / P(A. = 1/3

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Hi there – I will be back to read much more

The answer to number 2 should be 4/11, which isn’t an option. The wording implies that the order in which the balls are picked out doesn’t matter. The balls can be picked out as red then green, or green then red.

The answer is correct – Combined probability is 4/11 * 5/10 = 20/110 = 10/55 = 2/11

I don’t get it, in #7, why can you take the number of red balls as 12?

4th is confusing. i need more explanation pls.

Statistics and Probability Worksheets

Welcome to the statistics and probability page at Math-Drills.com where there is a 100% chance of learning something! This page includes Statistics worksheets including collecting and organizing data, measures of central tendency (mean, median, mode and range) and probability.

Students spend their lives collecting, organizing, and analyzing data, so why not teach them a few skills to help them on their way. Data management is probably best done on authentic tasks that will engage students in their own learning. They can collect their own data on topics that interest them. For example, have you ever wondered if everyone shares the same taste in music as you? Perhaps a survey, a couple of graphs and a few analysis sentences will give you an idea.

Statistics has applications in many different fields of study. Budding scientists, stock market brokers, marketing geniuses, and many other pursuits will involve managing data on a daily basis. Teaching students critical thinking skills related to analyzing data they are presented will enable them to make crucial and informed decisions throughout their lives.

Probability is a topic in math that crosses over to several other skills such as decimals, percents, multiplication, division, fractions, etc. Probability worksheets will help students to practice all of these skills with a chance of success!

Most Popular Statistics and Probability Worksheets this Week

$Stem-and-Leaf Plot Questions with Data Counts of About 25$

Mean, Median, Mode and Range Worksheets

Worksheets for students to practice finding the mean, median, mode and range or number sets.

Calculating the mean, median, mode and range are staples of the upper elementary math curriculum. Here you will find worksheets for practicing the calculation of mean, median, mode and range. In case you're not familiar with these concepts, here is how to calculate each one. To calculate the mean, add all of the numbers in the set together and divide that sum by the number of numbers in the set. To calculate the median, first arrange the numbers in order, then locate the middle number. In sets where there are an even number of numbers, calculate the mean of the two middle numbers. To calculate the mode, look for numbers that repeat. If there is only one of each number, the set has no mode. If there are doubles of two different numbers and there are more numbers in the set, the set has two modes. If there are triples of three different numbers and there are more numbers in the set, the set has three modes, and so on. The range is calculated by subtracting the least number from the greatest number.

Note that all of the measures of central tendency are included on each page, but you don't need to assign them all if you aren't working on them all. If you're only working on mean, only assign students to calculate the mean.

Determining Mean, Median, Mode and Range from Sorted lists of numbers

$practice probability problems for statistics$

In order to determine the median, it is necessary to have your numbers sorted. It is also helpful in determining the mode and range. To expedite the process, these worksheets include the lists of numbers already sorted.

Determining Mean, Median, Mode and Range from Unsorted lists of numbers

$practice probability problems for statistics$

Normally, data does not come in a sorted list, so these worksheets are a little more realistic. To find some of the statistics, it will be easier for students to put the numbers in order first.

Collecting and Organizing Data

Collecting and organizing data worksheets including line plots and stem-and-leaf diagrams.

Teaching students how to collect and organize data enables them to develop skills that will enable them to study topics in statistics with more confidence and deeper understanding.

Constructing line plots from smaller data sets

$practice probability problems for statistics$

Constructing line plots from larger data sets

$practice probability problems for statistics$

Interpreting and Analyzing Data Worksheets

Interpreting and analyzing data worksheets including worksheets with stem-and-leaf plots, line plots and various graph types.

Answering questions about graphs and other data helps students build critical thinking skills. The versions with no questions are intended for those who want to write their own questions and answers.

Questions about Stem-and-leaf plots

$practice probability problems for statistics$

Standard questions include determining the minimum, maximum, range, count, median, mode, and mean.

Questions about Line plots

$practice probability problems for statistics$

Questions about Broken-Line Graphs

$practice probability problems for statistics$

Questions about Circle Graphs

$practice probability problems for statistics$

Questions about Pictographs

$practice probability problems for statistics$

Probability Worksheets

Probability worksheets including probabilities of dice and spinners with various numbers of sections.

Probability with Dice

$practice probability problems for statistics$

Probability with Number Spinners

$practice probability problems for statistics$

Spinners can be used for probability experiments or for theoretical probability. Students should intuitively know that a number that is more common on a spinner will come up more often. Spinning 100 or more times and tallying the results should get them close to the theoretical probability. The more sections there are, the more spins will be needed.

Probability with Non-Numerical Spinners

$practice probability problems for statistics$

Non-numerical spinners can be used for experimental or theoretical probability. There are basic questions on every version with a couple extra questions on the A and B versions. Teachers and students can make up other questions to ask and conduct experiments or calculate the theoretical probability. Print copies for everyone or display on an interactive white board.

Online Practice Tests

Probability Practice Problems

1. on a six-sided die, each side has a number between 1 and 6. what is the probability of throwing a 3 or a 4, 2. three coins are tossed up in the air, one at a time. what is the probability that two of them will land heads up and one will land tails up, 3. a two-digit number is chosen at random. what is the probability that the chosen number is a multiple of 7, 4. a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. how many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3, 5. there are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. what is the probability of selecting a blue or red marble on the first draw, 6. using a six-sided die, carlin has rolled a six on each of 4 successive tosses. what is the probability of carlin rolling a six on the next toss, 7. a regular deck of cards has 52 cards. assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row.

1 in 132600

8. An MP3 player is set to play songs at random from the fifteen songs it contains in memory. Any song can be played at any time, even if it is repeated. There are 5 songs by Band A, 3 songs by Band B, 2 by Band C, and 5 by Band D. If the player has just played two songs in a row by Band D, what is the probability that the next song will also be by Band D?

Not enough data to determine.

9. Referring again to the MP3 player described in Question 8, what is the probability that the next two songs will both be by Band B?

10. if a bag of balloons consists of 47 white balloons, 5 yellow balloons, and 10 black balloons, what is the approximate likelihood that a balloon chosen randomly from the bag will be black, 11. in a lottery game, there are 2 winners for every 100 tickets sold on average. if a man buys 10 tickets, what is the probability that he is a winner, answers and explanations.

1. B: On a six-sided die, the probability of throwing any number is 1 in 6. The probability of throwing a 3 or a 4 is double that, or 2 in 6. This can be simplified by dividing both 2 and 6 by 2.

Therefore, the probability of throwing either a 3 or 4 is 1 in 3.

2. D: Shown below is the sample space of possible outcomes for tossing three coins, one at a time. Since there is a possibility of two outcomes (heads or tails) for each coin, there is a total of 2*2*2=8 possible outcomes for the three coins altogether. Note that H represents heads and T represents tails:

HHH HHT HTT HTH TTT TTH THT THH

Notice that out of the 8 possible outcomes, only 3 of them (HHT, HTH, and THH) meet the desired condition that two coins land heads up and one coin lands tails up. Probability, by definition, is the number of desired outcomes divided by the number of possible outcomes. Therefore, the probability of two heads and one tail is 3/8, Choice D.

3. E: There are 90 two-digit numbers (all integers from 10 to 99). Of those, there are 13 multiples of 7: 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

4. B: Add the 14 blue, 6 red, 12 green, and 8 purple buttons to get a total of 40 buttons. If 25 buttons are removed, there are 15 buttons remaining in the bag. If the chance of drawing a red button is now 1/3, then 5 of the 15 buttons remaining must be red. The original total of red buttons was 6. So, one red button was removed.

5. D: Use this ratio for probability:

Probability = Number of Desired Outcomes

Number of Possible Outcomes

There are 6 blue marbles and 3 red marbles for a total of 9 desired outcomes. Add the total number of marbles to get the total number of possible outcomes, 14. The probability that a red or blue marble will be selected is 9/14.

6. C: The outcomes of previous rolls do not affect the outcomes of future rolls. There is one desired outcome and six possible outcomes. The probability of rolling a six on the fifth roll is 1/6, the same as the probability of rolling a six on any given individual roll.

7. D: The probability of getting three aces in a row is the product of the probabilities for each draw. For the first ace, that is 4 in 52 or 1 in 13; for the second, it is 3 in 51 or 1 in 27; and for the third, it is 2 in 50 or 1 in 25. So the overall probability, P , is P=1/13*1/17*1/25=1/5,525

8. B: The probability of playing a song by a particular band is proportional to the number of songs by that band divided by the total number of songs, or 5/15=1/3 for B and D. The probability of playing any particular song is not affected by what has been played previously, since the choice is random and songs may be repeated.

9. A: Since 3 of the 15 songs are by Band B, the probability that any one song will be by that band is 3/15=1/5. The probability that the next two songs are by Band B is equal to the product of two probabilities, where each probability is that the next song is by Band B: 1/5*1/5=1/25 The same probability of 1/5 may be multiplied twice because whether or not the first song is by Band B has no impact on whether the second song is by Band B. They are independent events.

10. B: First, calculate the total number of balloons in the bag: 47 + 5 + 10 = 62.

Ten of these are black, so divide this number by 62. Then, multiply by 100 to express the probability as a percentage:

10 / 62 = 0.16

0.16 100 = 16%

11. C: First, simplify the winning rate. If there are 2 winners for every 100 tickets, there is 1 winner for every 50 tickets sold. This can be expressed as a probability of 1/50 or 0.02. In order to account for the (unlikely) scenarios of more than a single winning ticket, calculate the probability that none of the tickets win and then subtract that from 1. There is a probability of 49/50 that a given ticket will not win. For all ten to lose that would be (49/50)^(10) ≈ 0.817. Therefore, the probability that at least one ticket wins is 1 − 0.817 = 0.183 or about 18.3%

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Statistics 110: Probability

Strategic Practice and Homework Problems

Actively solving practice problems is essential for learning probability. Strategic practice problems are organized by concept, to test and reinforce understanding of that concept. Homework problems usually do not say which concepts are involved, and often require combining several concepts. Each of the Strategic Practice documents here contains a set of strategic practice problems, solutions to those problems, a homework assignment, and solutions to the homework assignment. Also included here are the exercises from the book that are marked with an s, and solutions to those exercises.

Browse Course Material

Listed in the following table are practice exam questions and solutions, and the exam questions and solutions. Additional materials for exam preparation can be found under the class sessions dedicated to exam review. Students were encouraged to prepare a 4x6 inch notecard to use for reference during each exam.

How to do probability problems statistics

Make sure to take note of the following guide on How to do probability problems statistics. We'll be walking you through every step, so don't miss out!

How To Calculate Probability: Formula, Examples and Steps

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Problems In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high blood pressure, a high level of cholesterol or both.

If you work on a task that is interesting to you, it will help you stay motivated and engaged.

You can get math help online by visiting websites like Khan Academy or Mathway.

The best way to learn new information is to practice it regularly.

Answers in 3 seconds is a great resource for quick, reliable answers to all of your questions.

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How to Solve Probability Problems

Probability Problems with Solutions

Practice Problems on Probability & Statistics

K-12 students may use this list of practice problems on probability & statistics. Try to solve these probability & statistics practice problems on your own. Verify your step by step calculation and answers by just click on the desired probability & statistics practice problem.

Free Mathematics Tutorials

Probability questions with solutions.

Tutorial on finding the probability of an event. In what follows, S is the sample space of the experiment in question and E is the event of interest. n(S) is the number of elements in the sample space S and n(E) is the number of elements in the event E.

Questions and their Solutions

Answers to above exercises, more references and links.

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Statistics and probability.

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Learn at your own pace. Free online tutorials cover statistics, probability, regression, analysis of variance, survey sampling, and matrix algebra - all explained in plain English.

Practice and review questions reinforce key points. Online calculators take the drudgery out of computation. Perfect for self-study.

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Probability Questions

The probability questions , with answers, are provided here for students to make them understand the concept in an easy way. The chapter Probability has been included in Class 9, 10, 11 and 12. Therefore, it is a very important chapter. The questions here will be provided, as per NCERT guidelines. Get Probability For Class 10 at BYJU’S.

The application of probability can be seen in Maths as well as in day to day life. It is necessary to learn the basics of this concept. The questions here will cover the basics as well as the hard level problems for all levels of students. Thus, students will be confident in solving problems based on it. Also, solving these probability problems will help them to participate in competitive exams, going further.

Definition: Probability is nothing but the possibility of an event occurring. For example, when a test is conducted, then the student can either get a pass or fail. It is a state of probability.

Probability Questions & Answers

1. Two coins are tossed 500 times, and we get:

Two heads: 105 times

One head: 275 times

No head: 120 times

Find the probability of each event to occur.

Solution: Let us say the events of getting two heads, one head and no head by E 1 , E 2 and E 3 , respectively.

P(E 1 ) = 105/500 = 0.21

P(E 2 ) = 275/500 = 0.55

P(E 3 ) = 120/500 = 0.24

The Sum of probabilities of all elementary events of a random experiment is 1.

P(E 1 )+P(E 2 )+P(E 3 ) = 0.21+0.55+0.24 = 1

2. A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The table shows the results of 1000 cases.

If a tyre is bought from this company, what is the probability that :

(i) it has to be substituted before 4000 km is covered?

(ii) it will last more than 9000 km?

(iii) it has to be replaced after 4000 km and 14000 km is covered by it?

Solution: (i) Total number of trials = 1000.

The frequency of a tyre required to be replaced before covering 4000 km = 20

So, P(E 1 ) = 20/1000 = 0.02

(ii) The frequency that tyre will last more than 9000 km = 325 + 445 = 770

So, P(E 2 ) = 770/1000 = 0.77

(iii) The frequency that tyre requires replacement between 4000 km and 14000 km = 210 + 325 = 535.

So, P(E 3 ) = 535/1000 = 0.535

3. The percentage of marks obtained by a student in the monthly tests are given below:

Based on the above table, find the probability of students getting more than 70% marks in a test.

Solution: The total number of tests conducted is 5.

The number of tests when students obtained more than 70% marks = 3.

So, P(scoring more than 70% marks) = ⅗ = 0.6

4. One card is drawn from a deck of 52 cards, well-shuffled. Calculate the probability that the card will

(i) be an ace,

(ii) not be an ace.

Solution: Well-shuffling ensures equally likely outcomes.

(i) There are 4 aces in a deck.

Let E be the event the card drawn is ace.

The number of favourable outcomes to the event E = 4

The number of possible outcomes = 52

Therefore, P(E) = 4/52 = 1/13

(ii) Let F is the event of ‘card is not an ace’

The number of favourable outcomes to F = 52 – 4 = 48

Therefore, P(F) = 48/52 = 12/13

5. Two players, Sangeet and Rashmi, play a tennis match. The probability of Sangeet winning the match is 0.62. What is the probability that Rashmi will win the match?

Solution: Let S and R denote the events that Sangeeta wins the match and Reshma wins the match, respectively.

The probability of Sangeet to win = P(S) = 0.62

The probability of Rashmi to win = P(R) = 1 – P(S)

= 1 – 0.62 = 0.38

6. Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.

Solution: Either Head(H) or Tail(T) can be the outcomes.

Heads on both coins = (H,H) = HH

Head on 1st coin and Tail on the 2nd coin = (H,T) = HT

Tail on 1st coin and Head on the 2nd coin = (T,H) = TH

Tail on both coins = (T,T) = TT

Therefore, the sample space is S = {HH, HT, TH, TT}

7. Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.

Solution: In the random experiment where the head can appear on the 1st toss, or the 2nd toss, or the 3rd toss and so on till we get the head of the coin. Hence, the required sample space is :

S= {H, TH, TTH, TTTH, TTTTH,…}

8. Consider the experiment of rolling a die. Let A be the event ‘getting a prime number’, B be the event ‘getting an odd number’. Write the sets representing the events

(ii) A and B

(iii) A but not B

(iv) ‘not A’.

Solution: S = {1, 2, 3, 4, 5, 6}, A = {2, 3, 5} and B = {1, 3, 5}

(i) A or B = A ∪ B = {1, 2, 3, 5}

(ii) A and B = A ∩ B = {3,5}

(iii) A but not B = A – B = {2}

(iv) not A = A′ = {1,4,6}

9. A coin is tossed three times, consider the following events.

P: ‘No head appears’,

Q: ‘Exactly one head appears’ and

R: ‘At Least two heads appear’.

Check whether they form a set of mutually exclusive and exhaustive events.

Solution: The sample space of the experiment is:

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} and

Q = {HTT, THT, TTH},

R = {HHT, HTH, THH, HHH}

P ∪ Q ∪ R = {TTT, HTT, THT, TTH, HHT, HTH, THH, HHH} = S

Therefore, P, Q and R are exhaustive events.

P ∩ R = φ and

Therefore, the events are mutually exclusive.

Hence, P, Q and R form a set of mutually exclusive and exhaustive events.

10. If P(A) = 7/13, P(B) = 9/13 and P(A∩B) = 4/13, evaluate P(A|B).

Solution: P(A|B) = P(A∩B)/P(B) = (4/13)/(9/13) = 4/9.

Video Lesson

Probability important topics.

Probability Important Questions

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Solve the following probability questions.

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Statistics Fundamentals

Data can be deceiving. Learn to use math to discern truth from fiction.

Statistics Introduction

Riddles on averages, solving forwards, solving backwards, building blocks, mean and median, a probability refresher.

Simpson's Paradox

Lying with Statistics

Scatterplots and regression, regression paradoxes, bar and line graphs, more graphs.

Cumulative Frequency Plots

Variance and Normal Curves

The two mads, variance and standard deviation, building the normal curve, mathematical bias, the n-1 mystery, experiments, observation vs. experiment, bayesian probability.

Experiment Design

Confidence Intervals

Hypothesis testing, type i and type ii errors, course description.

Statistics starts from data and then asks what was used to generate it. Learning the building blocks — median, mode, range, variance, and standard deviation — will help you analyze graphs, determine statistical significance, and make informed decisions.

By the end of this course, you'll be able to mathematically quantify predictions, use statistical tools to conduct experiments, and discern the truth in a set of data.

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You'll need an understanding of algebra and some familiarity with probability.

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Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for algebra 1, all algebra 1 resources, example questions, example question #6 : mean.

What is the mean of 44, 22, 134, and 200?

To find the mean, you must add all of the numbers together and divide by the amount of numbers. In this case there are four numbers so, we must deivide the total sum by 4.

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Example Question #1 : Basic Statistics

Calculate the mean of the following numbers: 11, 13, 16, 13, 14, 19, 13, 13

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First, calculate the sum of all of the numbers.

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Next, divide by the total number.

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Example Question #1 : Statistics And Probability

Find the mean of this number set: 2, 5, 6, 7, 7, 3

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The numbers add up to 30. To find the mean, divide by the number of numbers (6) and you get a mean of 5. Mean is a fancy way of saying average.

Example Question #8 : Mean

The class average in a class of 15 is 86%. If one additional student earns a 100% in the class, what is the new class average.

$practice probability problems for statistics$

There is not enough information to answer this question

None of the available answers

$practice probability problems for statistics$

We can treat this as if the entire class had exactly 86% as their average, so the new average is:

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Example Question #9 : Mean

What is the mean of the following numbers?

88,99,31,47,68,27

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Example Question #2 : Statistics And Probability

$practice probability problems for statistics$

Example Question #3 : Statistics And Probability

$practice probability problems for statistics$

Example Question #4 : Statistics And Probability

$practice probability problems for statistics$

It is impossible to tell from the imformation given.

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Example Question #1 : How To Find Mean

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Example Question #6 : Statistics And Probability

Is the following method for collecting data biased? If so, why?

A company would like to assess the approval of their new product. To determine if customers were happy with their product, they placed a link on their website to all consumers to opt-in to provide their opinion.

Yes; this is an example of exclusion bias.

Yes; this is an example of selection bias.

Yes; this is an example of analytical bias.

No; the collection method is not biased.

Because this is an "opt-in" study, certain individuals are more likely to participate than others resulting in a selection bias.

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Statistics probability practice problems

Problems In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high blood pressure, a high level of cholesterol or both.

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Basic Probability and Statistics Practice Questions 1. There are 3 blue, 1 white and 4 red identical balls inside a bag. If it is aimed to

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Basic probability Simple probability CCSS.Math: 7.SP.C.7, 7.SP.C.7a Google Classroom You might need: Calculator Jake is going to call one person from his contacts at random. He has 30 30 total contacts. 16 16 of those contacts are people he met at school. What is \text {P (call a person from school}) P (call a person from school)?
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Math Practice SOLVE NOW How to do probability problems statistics If you're seeking knowledge, then look no further! You've come to the perfect place to learn How to do probability problems statistics. Welcome aboard! Get Solution. 4 Ways to Calculate Probability. Finding the probability of a simple event happening is fairly straightforward ...
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We use the empirical formula of the probability P (E) = Frequency for O blood / Total frequencies = 70 / 200 = 0.35 Exercises a) A die is rolled, find the probability that the number obtained is greater than 4. b) Two coins are tossed, find the probability that one head only is obtained.
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Complexity=5. Find the probability that a randomly selected piece of the shape will be highlighted and find the odds that a piece chosen will not be highlighted. Express probabilities as a simplified fraction and odds as a ratio of two numbers with no common factors other than 1 (i.e. "2:1"). 1. Probability:
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Statistics starts from data and then asks what was used to generate it. Learning the building blocks — median, mode, range, variance, and standard deviation — will help you analyze graphs, determine statistical significance, and make informed decisions. By the end of this course, you'll be able to mathematically quantify predictions, use statistical tools to conduct experiments, and ...
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Free practice questions for Algebra 1 - Statistics and Probability. Includes full solutions and score reporting. ... Algebra 1 Help » Statistics and Probability Example Question #6 : Mean . What is the mean of 44, 22, 134, and 200? ... Problems & Flashcards Classroom Assessment Tools Mobile Applications.
Statistics probability practice problems
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