# Introduction to Conditional Probability & Diagrams 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. Paul wants to play quarterback for his football team, but that decision depends on who serves as head coach for a given game. Coach Smith is head coach about 60 percent of the time, and Coach Brown is head coach the other 40 percent. Coach Brown has faith in Paul, so he starts him at quarterback in 80 percent of the games he coaches. Coach Smith, though, isn't so sure, so he starts Paul at quarterback 40 percent of the time. What's the probability of Paul starting as quarterback for the next game?

#### Question 2 2. Use the Venn Diagram.

#### Question 3 3. How many branches will extend from the 2 in this factor tree?

#### Question 4 4. All of the following are properties of mutually exclusive events except for which?

#### Question 5 5. Amanda has room in her rented limousine to take two of her friends while she celebrates her birthday. Her best friends are Barbara, Samantha, Rachel, and Kim. She chooses names randomly to not hurt anyone's feelings. What are the chances she'll take Rachel and Kim?

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#### Question 6 6. Which is a possible way to start a factor tree for 1,000?

#### Question 7 7. If set A has numbers 1, 3, 4, 6, 7 and set B has numbers 1, 2, 4, 8, 9, how would you write the union of set A and set B?

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Question 8
8.
Which Venn Diagram best represents the question below?

In a gym that has 50 members, 26 members take yoga, 20 members take kickboxing and 5 are in both in yoga and kickboxing.

#### Question 9 9. Why is this not a complete factor tree?

#### Question 10 10. 8 different novels are to be placed side-by-side on a shelf. How many ways can the 8 novels be arranged on the shelf?

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#### Question 11 11. A sandwich shop offers 3 types of meat, 3 types of cheeses, 3 types of bread, and 4 types of condiments for its sandwiches. If you select one of each of the four ingredients, how many possible sandwiches can you create?

#### Question 12 12. A horse race includes 10 participants. How many possible finishes are there for the top three positions: first (win), second (place), and third (show)?

#### Question 13 13. Two events that do not affect one another are called what?

#### Question 14 14. What are the odds of someone choosing a circle, a triangle, and a square in that order from the following group of shapes?

#### Question 15 15. A woman is deciding what to wear to work. She is considering an outfit from among 5 blouses, 3 skirts, and 7 pairs of shoes. How many possible outfits are there?

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

#### Question 17 17. A car lot has 50 Model A cars, 20 Model B cars, and 5 Model C cars. Joe has to sell 1 more Model A car and 1 more Model C car to get a bonus. What are the chances of this occurring if he sells only two more cars?

#### Question 18 18. The part of a Venn Diagram where two circles overlap is called what?

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

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

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#### Question 21 21. Sam has to find one more pair of cards to win a memory game. Of the cards left, two show apples, two show oranges, and two show grapes. What are the odds of Sam turning over two cards and getting two cards with grapes?

#### Question 22 22. What word problem below best represents this Venn Diagram?

#### Question 23 23. Identify the pair of mutually exclusive events:

#### Question 24 24. Use the Venn Diagram. Which of the following is ∈ A?

#### Question 25 25. A vehicle license plate uses three numbers and three letters on each plate. The numbers are listed first and then the letters. The numbers used range from 0-9 and the letters used can be any letter of the 26 letters of the alphabet. On any given license plate, the letters can be repeated, but the numbers cannot be repeated. How many different plates are possible?

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#### Question 26 26. What are possible factor pairs of 1,000?

#### Question 27 27. In a Venn diagram with Set B being the big circle and Set A being a small circle in the circle B, which of the following examples would best illustrate A as a subset of B.

#### Question 28 28. What is the prime factorization of 30, according to this chart?

#### Question 29 29. Which event is mutually exclusive to the following event: it is snowing outside.

#### Question 30 30. Which event below is NOT mutually exclusive with the following: Today is Saturday.

#### Introduction to Conditional Probability & Diagrams 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!