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# Probability & Uncertainty 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.
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.)

#### Question 2 2. 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 3 3. If we had a six-sided die and we rolled it twice, how many outcomes are possible?

#### Question 4 4. The following tree diagram represents the possible outcomes of a certain event. What outcome is represented by the path marked with pink branches?

#### Question 5 5. What is the probability of rolling an even number with a six sided die?

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#### Question 6 6. In probability, what is an event?

#### Question 7 7. 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 8 8. What do we call the probability of a second event given that a first event has already occurred?

#### Question 9 9. 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 10 10. 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)

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#### Question 11 11. 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 12 12. 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?

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Question 13
13.
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 14 14. 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 15 15. 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?

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#### Question 16 16. 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 17 17. This image is a part to part visualization of four different probabilities. Which of the parts is the most likely to happen?

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Question 18
18.
Which of the following is the correct way of saying this phrase by using the *odds against* phrase?

The odds in favor of getting ice cream for an A plus on the report card is 4:1.

*odds against*phrase?

#### Question 19 19. When you conduct an experiment, what are you observing?

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

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#### Question 21 21. Which of these is a non-mutually exclusive event?

#### Question 22 22. What are the odds of getting two 5 balls from a lottery machine with 35 balls, where each ball has a different number on it?

#### Question 23 23. 0!

#### Question 24 24. 0!/3!

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Question 25
25.
How many ways can you create a workout (exercise) plan if you have to choose one each from:

10 flexibility exercise

5 lower body exercises

7 upper body exercises

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#### Question 26 26. Suppose you can choose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.

#### Question 27 27. 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 28 28. The following tree diagram displays the outcomes of a certain event. What are all the possible outcomes?

#### Question 29 29. In probability, what is an experiment?

#### Question 30 30. 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?

#### Probability & Uncertainty 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!