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CSET Math: Probability Chapter Exam

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!

Page 1

Question 1 1. Twenty students compete in a school-wide marathon and each student is of comparable running ability. Of the 20 students, 15 were boys and 5 were girls. What is the probability that girls will place 1st, 2nd, and 3rd in the marathon?

Question 2 2. What do two-sided problems involve?

Question 3 3. Which statement is NOT true regarding the median?

Question 4 4. In a certain video game you wish to be in the top 0.15% of the scores. Assuming that the scores are normally distributed with a mean score of 25,460 and a standard deviation of 570, what is the score you need to achieve?

Question 5 5. If P(B|A) = P(B), then what do we know about events A and B?

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Question 6 6. Solve the Combination

Question 7 7. 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 8 8. Solve the expression 7P2 (P = permutation)

Question 9 9. 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?

Question 10 10. Assuming that both np>=5 and nq>=5, how can you calculate the mean of the normal distribution?

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Question 11 11. What is a frequency distribution that can be represented by a bell-shaped curve?

Question 12 12. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. The order of the flavors is important to him as it affects how he tastes each ice cream. How many different arrangements of cones can Jimmy make?

Question 13 13. The letters that spell out the state CALIFORNIA are cut and placed in a bag. What is the probability that the 3rd letter selected will be a C if the first two letters selected were both I's? (Letters were not replaced)

Question 14 14. A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away from the mean is a value of 13?

Question 15 15. Sally is selling strawberry and regular lemonade at her stand. Out of all of the customers that bought her lemonade, 50% like regular lemonade and 30% like strawberry and regular lemonade. So if one of Sally's customers likes regular lemonade, what's the probability that they'll also like strawberry lemonade?

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Question 16 16. Calculate 4! (factorial)

Question 17 17. Assuming that both np>=5 and nq>=5, how can you calculate the standard deviation of the normal distribution?

Question 18 18. Which of the following is NOT true regarding the mean?

Question 19 19. The tail lengths of a certain animal are normally distributed with a mean length of 1.5 feet and a standard deviation of 3 inches. What percentage of these animals have a tail that is at most one foot long?

Question 20 20. Solve 8! (factorial)

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Question 21 21. At a local ice cream parlor, there are 6 different flavors of ice cream from which to select (strawberry, chocolate, vanilla, rocky road, mint chocolate chip, and peanut butter). Each ice cream sundae must include 2 different flavors of ice cream; what is the probability that the next customer's sundae will have vanilla and chocolate (in either order)?

Question 22 22. Sandra has a bag of candies. There are twelve candies in total, and three of the candies are peanut butter. The packaging for each candy is the same, so Sandra doesn't know which candy she will pull from the bag. What is the probability that Sandra will pull a peanut butter candy from the bag?

Question 23 23.

A store sells suits that are only designed for men who are very tall. The smallest suit they make fits any man who is 75 inches tall. If the average height of men is 70 inches, with a standard deviation of 5 inches, then how many men can shop at this store?

Use this z score table:

Question 24 24. Jane has cards with the letters ALABAMA on them. She lays the cards face down. What is the probability of Jane selecting two cards and both of them being a vowel?

Question 25 25. Solve the expression 5P4 (P = permutation )

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Question 26 26. James is going through an old bag of marbles. He bets his friends that he can pull a red marble out of the bag and then a yellow marble in one try. There are 12 red marbles and 7 yellow marbles. What is the probability that he can pull a yellow from the bag, given that he has already pulled a red?

Question 27 27. If you're using the binomial probability formula to capture the probability of an event, and you know the value of q, will you always be able to calculate the value of p? Why?

Question 28 28. Solve 8! (the factorial of 8)

Question 29 29. What do one-sided problems involve?

Question 30 30. What is the fastest way to find Z-score percentages?

CSET Math: Probability 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!

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