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# Understanding the Probability of Compound Events 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!

### Page 1

#### Question 1 1. What is the probability of rolling an even number or a perfect square using a 20-sided die?

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Question 2
2.
What kind of compound event is this?

What is the probability of rolling a 2 or an odd number using 2 10-sided dice?

#### Question 3 3. What is the probability of pulling an ace or a 5 from a deck of cards?

#### Question 4 4. What is the probability of rolling an odd or non-prime number using a 12-sided die?

#### Question 5 5. What is the probability of pulling a 6 or a diamond from a standard deck of cards?

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#### Question 6 6. What do we call the probability of a second event given that a first event has already occurred?

#### Question 7 7. What is it called when the probability of an event is not affected by a previous event?

#### Question 8 8. 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 9 9. 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 10 10. 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 11 11. Karen takes her group of third grade students out for ice cream. There is a total of 30 students. 13 of the students enjoy chocolate ice cream, 12 of the students enjoy strawberry ice cream, and 5 students enjoy vanilla ice cream. When asked which two ice creams are their favorite, 8 students said they enjoy chocolate and strawberry ice cream. Out of the 30 students, what is the probability of a student enjoying ONLY chocolate or strawberry?

#### Question 12 12. Grace, Avery, and Noah are creating a maze for their pet gerbil, Sam. Grace bets that Sam will turn left when first entering the maze. Avery bets that Sam will turn right, and Noah bets that Sam will go straight. If there's an equal chance of Sam taking one of the given paths, then what is the probability that Grace or Noah will be correct?

#### Question 13 13. Mrs. Allison is preparing a cookies and milk party for her third grade class. There are 12 students that drink only whole milk, 8 students that drink only almond milk, 7 students that drink only skim milk, and 3 students that drink only soy milk. What is the probability that a student from Mrs. Allison's class drinks only almond or soy milk?

#### Question 14 14. 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 15 15. Melissa collects data on her college graduating class. She finds out that of her classmates, 60% are brunettes, 20% have blue eyes, and 5% are brunettes that have blue eyes. What is the probability that one of Melissa's classmates will be a brunette or have blue eyes?

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#### Question 16 16. Use the Venn Diagram.

#### Question 17 17. Use the Venn Diagram.

#### Question 18 18. Use the Venn Diagram. Which of the following is ⊆ A?

#### Question 19 19. Use the Venn Diagram. Which of the following is ∈ A?

#### Question 20 20. Use the Venn Diagram.

### Page 5

#### Question 21 21. 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 22 22. Kasey (a girl) and Michael (a boy) are auditioning for a reality TV show about singing. The show's producers want to choose one boy and one girl. Including Kasey and Michael, there are 4 girls and 2 boys auditioning. Is the event of Kasey being selected independent from the event of Michael being selected, or are the events dependent? Also, what is the probability that the producers will select Kasey and Michael for the show?

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Question 23
23.
Steve has a regular deck of 52 playing cards. He wants to know the probability of pulling two clubs from the deck in a row without replacing the first club. What is the probability of this event?

(A standard deck of 52 cards has 4 suits (hearts, clubs, spades, diamonds), each with 13 cards. Each suit has an ace, cards numbered 2 through 10, and a jack, a queen, and a king.)

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Question 24
24.
Gary has a deck of 52 cards. He wants to know the probability of drawing the jack of spades and then drawing the two of hearts from the deck without replacing either card. What's the probability of this event?

(A standard deck of 52 cards has 4 suits (hearts, clubs, spades, diamonds), each with 13 cards. Each suit has an ace, cards numbered 2 through 10, and a jack, a queen, and a king.)

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Question 25
25.
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?

(A standard deck of 52 cards has 4 suits (hearts, clubs, spades, diamonds), each with 13 cards. Each suit has an ace, cards numbered 2 through 10, and a jack, a queen, and a king.)

#### Understanding the Probability of Compound Events 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!