# ORELA Math: Probability 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. Jessie has a deck of 52 regular playing cards and a bag of six marbles. In the bag, there are two blue marbles, three green marbles, and one white marble. What is the probability of Jessie drawing an ace from the deck of cards and a blue marble from the bag?

#### Question 2 2. 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?

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

#### Question 4 4. 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 5 5. 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?

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#### Question 6 6. In probability, a/an _____ is an event of a sample space.

#### Question 7 7. Lisa has a two-sided coin with heads and tails. She also has a spinner with four colors: green, blue, red, and yellow. What is the probability of Lisa flipping the coin and getting heads and spinning the spinner to land on green?

#### Question 8 8. 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 9 9. Solve 8! (factorial)

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Question 10
10.
Solve the expression 7*P*2 (*P* = permutation)

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#### Question 11 11. 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 12 12. 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 13 13. 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 14 14. Solve the following combination:

#### Question 15 15. 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 16
16.
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 17 17. 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 18 18. 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 19 19. 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?

#### Question 20 20. 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 21 21. What is a set (S) of a random experiment that includes all possible outcomes of the experiment?

#### Question 22 22. There is a bag of red and blue marbles. If you keep grabbing marbles out of the bag without replacing them until you get a blue marble, is each grab an independent event? Why or why not?

#### Question 23 23. There is a bag of blue and red marbles and a deck of cards. What is the type of probability if one wants to know the chances of pulling out a blue marble and then an ace from the deck of cards?

#### Question 24 24. Calculate 4! (factorial)

#### Question 25 25. 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?

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#### Question 26 26. Solve the following combination:

#### Question 27 27. How would you determine the total number of possible combinations in a situation using the fundamental counting principle?

#### Question 28 28. It's the first day of school and Anne is comparing her class schedule with her friends. Thirty percent of Anne's friends are in Geometry and World History with her. She has 60% of her friends in Geometry, and she has 40% of her friends in World History. What is the probability that one of her friends is in Geometry or World History with Anne?

#### Question 29 29. 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 30 30. Using a spinner with 12 equal sections numbered 1 through 12, what is the probability that Jim will spin a number less than 8?

#### ORELA 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!