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OAE Middle Grades 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!

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Question 1 1. Solve the Combination

Question 2 2. 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 3 3. 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 4 4. Calculate 4! (factorial)

Question 5 5. Solve the following combination:

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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. 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 8 8. Solve the expression 5P4 (P = permutation )

Question 9 9. At Peter's Pizzeria, you can create your pizza choosing from 3 toppings, 3 cheese combinations, and 4 sizes. What are the events in this scenario?

Question 10 10. If you roll a die three times, what is the probability of rolling only even numbers?

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Question 11 11. 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 12 12. Twelve employees at a local company decide to go out for lunch. Of the 12 employees, 8 are men and 4 are women. If a woman is the first to order, what is the probability that a man will be the next person to order lunch?

Question 13 13. 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 14 14. 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 15 15. 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 16 16. 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 17 17. Solve 8! (factorial)

Question 18 18. 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 19 19. 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 20 20. Solve the expression 7P2 (P = permutation)

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Question 21 21. Mrs. Jones has four children: two boys and two girls. How many different combinations of boys and girls could she have had and still have ended up with four children?

Question 22 22. 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 23 23. Solve 8! (the factorial of 8)

Question 24 24. 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?

Question 25 25. 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?

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Question 26 26. All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

Question 27 27. For each day of one school week, Mrs. Hudson gives her students a quiz in either math, science, or history. How many different combinations of quizzes are possible for the week?

Question 28 28. 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 29 29. Mr. Garcia always dresses in a shirt, slacks, and dress shoes. There are 64 different outfits he can make with them. If he has 8 shirts and 2 pairs of shoes, then how many pairs of slacks does he have?

Question 30 30. 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?

OAE Middle Grades 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!

Ohio Assessments for Educators - Middle Grades Mathematics (030): Practice & Study Guide  /  Math Courses
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