# Probability Overview: Help and Review 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. The numbers 1 through 20 are written on separate slips of paper and placed in a hat. One of the slips is randomly drawn. What is the probability that either a prime number or a number less than 10 is drawn?

#### Question 2 2. What do you call the likelihood of a certain event occurring out of a total possible number of events?

#### Question 3 3. Solve 8! (factorial)

#### Question 4 4. What is it called when the probability of an event is not affected by a previous event?

#### Question 5 5. Define independent event?

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

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

Find.

#### Question 7 7. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the numbers 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

#### Question 8 8. 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 9 9. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. The order of the flavors is important to him as it affects how he tastes each ice cream. How many different arrangements of cones can Jimmy make?

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Question 10
10.
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 11 11. What is a set (S) of a random experiment that includes all possible outcomes of the experiment?

#### Question 12 12. 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 13 13. 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 14 14. Calculate 4! (factorial)

#### Question 15 15. 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?

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#### Question 16 16. 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 17 17. You and your friend are among 15 students who will give speeches in front of the class. The teacher will randomly choose one of the 15 students to give the first speech. Each student has an equal probability of being chosen. Find the probability that either you or your friend will be chosen to give the first speech.

#### Question 18 18. 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? Give your answer as a fraction in its most reduced form.

#### Question 19 19. A newspaper company is selecting four houses to receive a free newspaper on your block. There are 10 houses on your block that are numbered 1-10. What is the probability that the four houses selected for a free newspaper will all be even numbered houses?

####
Question 20
20.
Let set M = {1, 3, 4, 5}

Let set R = {4, 6, 7}

Find.

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#### Question 21 21. If P(B|A) = P(B), then what do we know about events A and B?

#### Question 22 22. You roll a 6-sided die. What is the probability that the number rolled will be odd or prime? (1 is not a prime number)

#### Question 23 23. 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 24 24. What do we call the ratio of the occurrence of a singular event and the total number of outcomes?

#### Question 25 25. 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 26 26. The name Joe is very common at a school and 1 out of every 10 students go by that name. If there are 15 students in one class, what is the probability that at least one of them is named Joe?

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

#### Question 28 28. 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 29 29. A normal deck of cards has 52 cards in it with four different suits (hearts, spades, clubs, diamonds). What is the probability of drawing an ace of spades or a 3 (from any suit) from a normal deck of cards?

#### Question 30 30. 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?

#### Probability Overview: Help and Review 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!