# Michigan Merit Exam - Math: Application & Representation Chapter Exam

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Question 1
1.
Solve the expression 5*P*4 (*P* = permutation )

#### Question 2 2. 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 3 3. Sandra has a bag of candies. There are twelve candies 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 4 4. What do we call the probability of a second event given that a first event has already occurred?

#### Question 5 5. 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?

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Question 6
6.
Solve the expression 7*P*2 (*P* = permutation)

#### Question 7 7. How many outfits could you make if you had three pairs of pants, three shirts, and two pairs of shoes?

#### Question 8 8. Solve 8! (factorial)

#### Question 9 9. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

#### Question 10 10. The following tree diagram displays the outcomes of a certain event. What are all the possible outcomes?

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#### Question 11 11. 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 12 12. Use the Venn Diagram. Fill in the box with the correct answer.

#### Question 13 13. 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 14 14. Solve the Combination

#### Question 15 15. 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 boys will place 1st, 2nd, and 3rd in the marathon?

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#### Question 16 16. The following tree diagram displays the outcomes of a certain event. How many possible outcomes are there?

#### Question 17 17. Solve 8! (factorial)

#### Question 18 18. Solve the following combination:

#### Question 19 19. Use the Venn Diagram.

#### Question 20 20. 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?

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#### Question 21 21. 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 22 22. The following tree diagram represents the possible outcomes of a certain event. What outcome is represented by the path marked with pink branches?

#### Question 23 23. If we had a six-sided die and we rolled it twice, how many outcomes are possible?

#### Question 24 24. Use the Venn Diagram.

#### Question 25 25. Use the Venn Diagram. Fill in the box with the correct answer.

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#### Question 26 26. Use the Venn Diagram.

#### Question 27 27. Calculate 4! (factorial)

#### Question 28 28. What is it called when the probability of an event is not affected by a previous event?

#### Question 29 29. 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 30 30. 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?

#### Michigan Merit Exam - Math: Application & Representation 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!