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Probability, Combinations & Permutations: Help and Review 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!

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Question 1 1. The probability of selecting a red M&M from a bag is 2/5. If 5 M&Ms are selected, what is the probability of at least one M&M being red?

Question 2 2. The name Joe is very common at a school and 1 out of every 10 students go by that name. If there are 15 students in one class, what is the probability that at least one of them is named Joe?

Question 3 3. 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 4 4. Solve the expression 5P4 (P = permutation )

Question 5 5. Kate and Kyle are playing a game. They must flip a coin and spin a spinner that has 12 equal sections numbered 1 through 12. What is the probability that Kyle will flip a heads and spin the spinner and get an even number?

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Question 6 6. 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 7 7. If you roll a die three times, what is the probability of rolling only even numbers?

Question 8 8. 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 9 9. 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?

Question 10 10.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that Kyle will select a jazz CD from the box, and then, without replacing the CD, select a country CD?

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Question 11 11. Solve the Combination

Question 12 12. 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?

Question 13 13.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop?

Question 14 14. Calculate 4! (factorial)

Question 15 15. 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?

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Question 16 16. You and your friend are among 15 students who will give speeches in front of the class. The teacher will randomly choose one of the 15 students to give the first speech. Each student has an equal probability of being chosen. Find the probability that either you or your friend will be chosen to give the first speech.

Question 17 17. In Mr. Martin's math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected?

Question 18 18. 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 19 19. 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 20 20. 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)

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Question 21 21. Solve the expression 7P2 (P = permutation)

Question 22 22. 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 23 23. A normal deck of cards has 52 cards in it with four different suits (hearts, spades, clubs, diamonds). What is the probability of drawing an ace of spades or a 3 (from any suit) from a normal deck of cards?

Question 24 24.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that the first CD Kyle chooses from the box will be country?

Question 25 25. Solve 8! (the factorial of 8)

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Question 26 26. 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.)

Question 27 27. 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 28 28. Annie writes the numbers 1 through 10 on note cards. She flips the cards over so she cannot see the number and selects three cards from the stack. What is the probability that she has selected the cards numbered 1, 2, and 3?

Question 29 29. 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 30 30. A locker combination contains four numbers between 1 and 20 and none of the numbers can be repeated. What is the probability that the locker combination will consist of all even numbers?

Probability, Combinations & Permutations: Help and Review 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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