# Probability: Homework Help 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. 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 2 2. 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 3 3. Solve the following combination:

#### Question 4 4. 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 5 5. 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?

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#### Question 6 6. 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 7 7. Annie writes the numbers 1 through 10 on note cards. She flips the cards over so she cannot see the number and selects three cards from the stack. What is the probability that she has selected the cards numbered 1, 2, and 3?

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

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

Find.

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

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#### Question 11 11. 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 12
12.
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 13 13. 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 14 14. 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?

#### Question 15 15. 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 16 16. 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?

#### Question 17 17. Select the set of Real Numbers.

#### Question 18 18. In probability, a/an _____ is an event of a sample space.

#### Question 19 19. 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?

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Question 20
20.
Solve the expression 5*P*4 (*P* = permutation )

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Question 21
21.
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 that Kyle pulls from the box will NOT be hip hop?

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Question 22
22.
Let set A = {socks, shoes, pants, shorts}.

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

Find.

#### Question 23 23. What do we call the probability of a second event given that a first event has already occurred?

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

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Question 26
26.
Let F = {2, 5, 7, 9}

Let G = {1, 4, 6, 8}

Which of the following is true?

#### Question 27 27. 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 28 28. 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 29 29. What is a set (S) of a random experiment that includes all possible outcomes of the experiment?

#### Question 30 30. 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?

#### Probability: Homework Help 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!