# Principles of 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. You decide to collect a bunch of cans of soda and measure the volume of soda in each can. Let x = the number of mL of soda in each can. What type of variable is x?

#### Question 2 2. Which of the following is NOT a property of a random variable?

#### Question 3 3. You conduct an experiment where you want to measure the number of rolls it takes to get two 6's in a row when you roll a fair six-sided die. State whether the random variable is discrete or continuous and give a summary of its values.

#### Question 4 4. You decide to conduct a survey of families with two children. You are interested in counting the number of boys (out of 2 children) in each family. Is this a random variable, and if it is, what are all its possible values?

#### Question 5 5. An agency decides to conduct a survey on household incomes in their county. Let x = the household income. What type of variable is x?

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#### Question 6 6. In a jar of gum balls with gum balls of exactly equal size, there are 5 of each color (yellow, green, purple, red). Latoya wants a red gum ball- her favorite. What is the classical probability of her picking one?

#### Question 7 7. What is the probability of drawing a yellow, green, or purple gum ball when blindfolded if all of the gum balls are equally in size and accessibility in this jar?

#### Question 8 8. In a jar of gum balls with gum balls of exactly equal size, there are 5 of each color (yellow, green, purple, red). Latoya wanted a red gum ball and picked one! Bryan now wants a red gum ball too. What are his odds of grabbing one?

#### Question 9 9. What characteristic separates classical probability from regular probability?

#### Question 10 10. What is the classical probability (in percentage form) of flipping heads on a quarter?

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#### Question 11 11. 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?

#### Question 12 12. 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 13 13. 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 14 14. 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?

#### Question 15 15. 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?

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#### Question 16 16. 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 17 17. 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 18 18. 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?

#### Question 19 19. 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 20 20. 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 chocolate or strawberry?

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#### Question 21 21. What is a probability distribution?

#### Question 22 22. Which of the following situations model the need for a binomial distribution?

#### Question 23 23. When the successful outcome can take on more than one exact value, then we are looking for the probability called:

#### Question 24 24. How do you calculate a binomial distribution?

#### Question 25 25. Which of the following is NOT a criteria of binomial distributions?

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

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

#### Principles of 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!