# 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. 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 2 2. Calculate 4! (factorial)

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

#### Question 5 5. What do we call the probability of a second event given that a first event has already occurred?

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#### Question 6 6. 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 girls will place 1st, 2nd, and 3rd in the marathon?

#### Question 7 7. James is going through an old bag of marbles. He bets his friends that he can pull a red marble out of the bag and then a yellow marble in one try. There are 12 red marbles and 7 yellow marbles. What is the probability that he can pull a yellow from the bag, given that he has already pulled a red?

#### Question 8 8. Solve 8! (factorial)

#### Question 9 9. 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 10 10. 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 11 11. Sheri rolls a die eight times. She rolls a one three times, a two one time, a four one time, and a five three times. What is the relative frequency in this data set of rolling a four?

#### Question 12 12. When you conduct an experiment, what are you observing?

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

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Question 15
15.
Let set A = {socks, shoes, pants, shorts}.

Let set B = {shorts, sandals, t shirt}

Find.

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#### Question 16 16. 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 17 17. What do you call the likelihood of a certain event occurring out of a total possible number of events?

#### Question 18 18. 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 19 19. 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 20 20. There is a bag of blue and red marbles and a deck of cards. What is the type of probability if one wants to know the chances of pulling out a blue marble and then an ace from the deck of cards?

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#### Question 21 21. Beatrice spins a spinner four times. Out of the four times, she lands on orange once. She tells Edward that she landed on orange 25% of the time. What is this an example of?

#### Question 22 22. Sandra has a bag of candies. There are twelve candies 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 23 23. Why is the act of flipping a coin an example of independent probability?

#### Question 24 24. The probability of winning a prize at a ball toss at a carnival is 2/7. What is the probability of not winning a prize?

#### Question 25 25. In a fish tank there are 10 clown fish, 4 angel fish, 6 puffer fish, and 5 eels. What is the probability of scooping out a clown fish on the second scoop after scooping out a clown fish on the first scoop and not replacing it?

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#### Question 26 26. What is a set (S) of a random experiment that includes all possible outcomes of the experiment?

#### Question 27 27. The probability of selecting a red M&M from a bag is 2/5. If 5 M&Ms are selected, what is the probability of at least one M&M being red?

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Question 28
28.
Solve the expression 7*P*2 (*P* = permutation)

#### Question 29 29. Solve the following combination:

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Question 30
30.
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 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?

#### 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!