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# A drawer contains 4 black and 6 white shirts

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A drawer contains 4 black and 6 white shirts.

a) How many ways are there to select a sample of 3 shirts from the drawer (without replacement)?

b) If a sample of 3 shirts is randomly selected without replacement, what is the probability that there are exactly 2 white shirts in the sample?

c) If a sample of 3 shirts is randomly selected without replacement, what is the probability that there are at least 2 white shirts in the sample?

d) What is the probability distribution of the random variable X, the number of white shirts in the sample of 3 shirts? Hint: you may use a pdf table, or a formula to answer this question.

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## [Solved] A drawer contains 4 black and 6 white shirts

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