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# Probability: Principles & Techniques 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. 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 2 2. Define independent event?

#### Question 3 3. 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 4 4. If you roll a die three times, what is the probability of rolling only even numbers?

#### Question 5 5. In an experiment, a coin is flipped, and the coin can either land heads up, or tails up. What would we call the outcome where the coin lands heads up?

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

#### Question 7 7. Graphing the probability of getting heads or tails on consecutive flip of a coin is which of the following type of distribution?

#### Question 8 8. Which graph represents a continuous, uniform probability distribution?

#### Question 9 9. You are creating a tree house and have made the doorway into the structure 71 inches tall. Suppose the average height of adult males is 68 inches with a standard deviation of 3 inches. What percentage of men will have to bend their heads to get into the house?

#### Question 10 10. A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away from the mean is a value of 13?

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#### Question 11 11. 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 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?

#### Question 13 13. 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 14 14. Mrs. Jones has four children: two boys and two girls. How many different combinations of boys and girls could she have had and still have ended up with four children?

#### Question 15 15. Why does using random selections make sense when running computer simulations?

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#### Question 16 16. When running a simulation, how can data be selected randomly if it is not uniformly distributed?

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Question 17
17.
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.)

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Question 18
18.
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 19
19.
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?

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Question 20
20.
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 Kyle will select a jazz CD from the box, and then, without replacing the CD, select a country CD?

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#### Question 21 21. Which of the following is NOT a criteria of binomial distributions?

#### Question 22 22. When the successful outcome can take on more than one exact value, then we are looking for the probability called:

#### Question 23 23. 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 24 24. 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.)

#### Question 25 25. When one event influences the outcome of another event in a probability scenario, we call that:

### Page 6

#### Question 26 26. 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?

#### Question 27 27. What is a set (S) of a random experiment that includes all possible outcomes of the experiment?

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Question 28
28.
What makes a probability distribution **uniform**?

#### Question 29 29. In a certain video game you wish to be in the top 0.15% of the scores. Assuming that the scores are normally distributed with a mean score of 25,460 and a standard deviation of 570, what is the score you need to achieve?

#### Question 30 30. 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?

#### Probability: Principles & Techniques 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!