1. Suppose we have a bag with 20 marbles in it: 12 red, 6 blue, and 2 white. a. If we reach in and take a single marble out, what is the probability that it is blue? b. If we reach in and take a single marble out, what is the probability that it is blue or red? C. If we reach in and take a single marble out, what is the probability that it is not red? d. What is the probability of selecting two blue marbles in a row if we replace the first marble before selecting the second marble? e. What is the probability of selecting two red marbles in a row if we do not replace the first marble before selecting the second marble?

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College Math Express: Unit 3 Review - Probability & Voting
Note: Answers printed at the end of this review.
1. Suppose we have a bag with 20 marbles in it: 12 red, 6 blue, and 2 white.
a. If we reach in and take a single marble out, what is the probability that it is blue?
b. If we reach in and take a single marble out, what is the probability that it is blue or red?
c. If we reach in and take a single marble out, what is the probability that it is not red?
d. What is the probability of selecting two blue marbles in a row if we replace the first marble
before selecting the second marble?
What is the probability of selecting two red marbles in a row if we do not replace the first
marble before selecting the second marble?
е.
f. Complete the probability distribution for selecting two marbles in a row with replacement:
Event
No Red Marbles
One Red Marble
Two Red Marbles
on Two Draws
on Two Draws
on Two Draws
Total
P(Not Red, Not Red)
P(Red, Not Red) or P(Not red, Red)
P(Red, Red)
8
8
20 20
Probability
4
25
(or 0.16 or 16%)
2. Suppose that I have the same bag of marbles as in #1 and a single, 6-sided, fair die.
If I draw out a marble and roll the die, how many equally likely outcomes are there?
a.
b. How many equally likely outcomes include an odd #?
27
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MacBook Air
Transcribed Image Text:dow Help 8% O Tue 12:28 AM A acconline.austincc.edu Syllabus - Contemporary Math (. https://acconline.austincc.edu/b.. https://acconline.austincc.edu/. https://acconlingaustincc.edu. Home | Chegg.com College Math Express: Unit 3 Review - Probability & Voting Note: Answers printed at the end of this review. 1. Suppose we have a bag with 20 marbles in it: 12 red, 6 blue, and 2 white. a. If we reach in and take a single marble out, what is the probability that it is blue? b. If we reach in and take a single marble out, what is the probability that it is blue or red? c. If we reach in and take a single marble out, what is the probability that it is not red? d. What is the probability of selecting two blue marbles in a row if we replace the first marble before selecting the second marble? What is the probability of selecting two red marbles in a row if we do not replace the first marble before selecting the second marble? е. f. Complete the probability distribution for selecting two marbles in a row with replacement: Event No Red Marbles One Red Marble Two Red Marbles on Two Draws on Two Draws on Two Draws Total P(Not Red, Not Red) P(Red, Not Red) or P(Not red, Red) P(Red, Red) 8 8 20 20 Probability 4 25 (or 0.16 or 16%) 2. Suppose that I have the same bag of marbles as in #1 and a single, 6-sided, fair die. If I draw out a marble and roll the die, how many equally likely outcomes are there? a. b. How many equally likely outcomes include an odd #? 27 étv MacBook Air
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