# Probability and Statistics Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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#### Question 1 1. A class has 12 girls and 8 boys. The teacher will select at random 3 students to present in front of the class. What is the probability of at least 1 girl being selected?

#### Question 2 2. In a fish tank there are 10 clown fish, 4 angel fish, 6 puffer fish, and 5 eels. What is the probability of scooping out a clown fish on the second scoop after scooping out a clown fish on the first scoop and not replacing it? Give your answer as a fraction in its most reduced form.

#### Question 3 3. The probability of winning a prize at a ball toss at a carnival is 2/7. What is the probability of not winning a prize?

#### Question 4 4. Solve 8! (the factorial of 8)

#### Question 5 5. Jenny has a bowl of M&M's that has 6 brown, 3 green, 4 red, and 12 yellow M&M's. She selects a yellow M&M and does not replace it. What is the probability that her second selection will be a brown M&M?

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#### Question 6 6. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

#### Question 7 7. Using a standard deck of 52 cards, what is the probability of selecting a 4 and then after not replacing the card, selecting another 4?

#### Question 8 8. A student's scores on his chemistry exams were 81, 75, 90, and 83. Find the mean and standard deviation for him.

#### Question 9 9. Jimmy has the letters for the state of MISSISSIPPI written on cards, one letter per card. He turns the cards over and mixes up the order. If he selects one card at a time without replacing the cards, what is the probability that he will spell the word MISS in order?

#### Question 10 10. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the range number of medals won during these Olympic Games.

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#### Question 11 11. All of the letters of MISSISSIPPI are put in a bag. What is the probability of selecting an M and then after not replacing the letter, selecting a P?

#### Question 12 12. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mode number of medals won during these Olympic Games.

#### Question 13 13. You roll a 6-sided die. What is the probability that the number rolled will be odd or prime? (1 is not a prime number)

#### Question 14 14. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mean number of medals won during these Olympic Games. (Round it to the nearest whole number.)

#### Question 15 15. The chart below shows the market share (%) of the 5 largest US cell phone providers in Q2, 2014. Out of 348.6 million total subscribers, approximately how many are on Sprint?

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#### Question 16 16. A newspaper company is selecting four houses to receive a free newspaper on your block. There are 10 houses on your block that are numbered 1-10. What is the probability that the four houses selected for a free newspaper will all be even numbered houses?

#### Question 17 17. Fifty tickets are sold for a raffle. You buy 2 tickets and your sister buys 4 tickets. One ticket is randomly chosen as the winning ticket. What is the probability that you or your sister wins the raffle?

#### Question 18 18. What is the probability of being dealt a flush (5 cards all of the same suit) from a standard 52-card deck?

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Question 19
19.
Find the variance for the following data set:

101, 106, 125, 142, 78, and 109

#### Question 20 20. While playing with a standard deck of playing cards, what is the probability that Jim's 5th card will be red after selecting 4 cards that were also red and not replacing them? (Hint: There are 52 cards in a deck which contains 26 red and 26 black cards.)

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#### Question 21 21. A driver was caught driving 78 miles per hour in a 60 mile per hour zone. By what percentage was he exceeding the speed limit?

#### Question 22 22. What is the probability of drawing a red card or a face card when selecting one card from a standard 52-card deck?

#### Question 23 23. The license plates of a state are 6 digits long and may include all 26 letters and numbers 1-9. License plates never contain two of the same number or two of the same letter. What is the probability that a license plate selected at random will not contain any numbers?

#### Question 24 24. A soccer team had 10 wins and 4 losses. What was its relative frequency of wins?

#### Question 25 25. Jim rolls one die and flips a coin. What is the probability of the result being heads and an odd number?

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#### Question 26 26. Solve the Combination

#### Question 27 27. The chart below shows the number of locations for the top 8 franchised restaurants in 2012. Approximately how many more Subway restaurants were there than Pizza Huts?

#### Question 28 28. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the numbers 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

#### Question 29 29. Looking at the pie chart 'Who Sells The Most Fast Food?', how many sectors can be determined?

#### Question 30 30. A class of 6 boys and 12 girls are preparing for finals. The teacher is going to select 3 students to be exempt from the test. What is the probability that the three students that are exempt will be all boys?

#### Probability and Statistics Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!