Suppose a box contains 20 marbles, 6 are red, 5 are blue, and 9 are yellow. Find the requested probabilities. Leave your answer as an unsimplified fraction. a. If two marbles are selected with replacement, what is the probability that one is red and the other is yellow? (hint: order is not specific so you could choose a red then yellow or yellow then red). b. If two marbles are selected without replacement, what is the probability that one is red and the other is yellow? c. If 5 marbles are selected without replacement, what is the probability that they are all yellow?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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QUESTION 9
Suppose a box contains 20 marbles, 6 are red, 5 are blue, and 9 are yellow. Find the requested probabilities. Leave your answer as an
unsimplified fraction.
a. If two marbles are selected with replacement, what is the probability that one is red and the other is yellow? (hint: order is not
specific so you could choose a red then yellow or yellow then red).
b. If two marbles are selected without replacement, what is the probability that one is red and the other is yellow?
c. If 5 marbles are selected without replacement, what is the probability that they are all yellow?
Transcribed Image Text:QUESTION 9 Suppose a box contains 20 marbles, 6 are red, 5 are blue, and 9 are yellow. Find the requested probabilities. Leave your answer as an unsimplified fraction. a. If two marbles are selected with replacement, what is the probability that one is red and the other is yellow? (hint: order is not specific so you could choose a red then yellow or yellow then red). b. If two marbles are selected without replacement, what is the probability that one is red and the other is yellow? c. If 5 marbles are selected without replacement, what is the probability that they are all yellow?
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