juniors. a) You pick three students at random, one at a time. What is the probability that all three are junior? b) You pick two students at random, one at a time. What is the probability that the second student is a sophomore, given that the first is a freshman?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Suppose you have a class with 30 students -10 freshmen, 12 sophomores, and 8
9..
juniors.
a) You pick three students at random, one at a time. What is the probability that all three
are junior?
b) You pick two students at random, one at a time. What is the probability that the
second student is a sophomore, given that the first is a freshman?
Transcribed Image Text:Suppose you have a class with 30 students -10 freshmen, 12 sophomores, and 8 9.. juniors. a) You pick three students at random, one at a time. What is the probability that all three are junior? b) You pick two students at random, one at a time. What is the probability that the second student is a sophomore, given that the first is a freshman?
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