# Common Core HS Statistics & Probability: 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. 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 2 2. Solve 8! (factorial)

#### Question 3 3. A locker combination contains four numbers between 1 and 20 and none of the numbers can be repeated. What is the probability that the locker combination will consist of all even numbers?

#### Question 4 4. 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 5 5. If P(B|A) = P(B), then what do we know about events A and B?

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#### Question 6 6. 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?

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Question 7
7.
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 8
8.
Solve the expression 7*P*2 (*P* = permutation)

#### Question 9 9. What do we call the probability of a second event given that a first event has already occurred?

#### Question 10 10. Twenty students compete in a school-wide marathon and each student is of comparable running ability. Of the 20 students, 15 were boys and 5 were girls. What is the probability that boys will place 1st, 2nd, and 3rd in the marathon?

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Question 11
11.
Let the set A = {2, 4, 6, 8}

Let set B = {1, 3, 5, 7}

Find.

#### Question 12 12. Solve the following combination:

#### Question 13 13. 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?

#### Question 14 14. 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 15 15. 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?

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#### Question 16 16. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

#### Question 17 17. When you conduct an experiment, what are you observing?

#### Question 18 18. 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 19 19. On a 5 question, multiple-choice test, what is the probability that you will get at least one problem correct while guessing? Each question has 5 choices.

#### Question 20 20. Twelve employees at a local company decide to go out for lunch. Of the 12 employees, 8 are men and 4 are women. If a woman is the first to order, what is the probability that a man will be the next person to order lunch?

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#### Question 21 21. 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 22 22. What do we call the probability of a second event given that a first event has already occurred?

#### Question 23 23. 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 24 24. The probability of selecting a brown M&M from a bag is 1 out of 4. If 8 M&Ms are selected, what is the probability that at least one of them is brown?

#### Question 25 25. 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?

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#### Question 26 26. 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 27
27.
Solve the expression 5*P*4 (*P* = permutation )

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Question 28
28.
Let set M = {1, 3, 4, 5}

Let set R = {4, 6, 7}

Find.

#### Question 29 29. 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 30 30. Define independent event?

#### Common Core HS Statistics & Probability: 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!