Mr. Smith has 12 shirts, eight pairs of slacks, eight

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QUESTION:

Mr. Smith has 12 shirts, eight pairs of slacks, eight ties, and four jackets. Suppose that four shirts, three pairs of slacks, two ties, and two jackets are blue. (a) What is the probability that an all-blue outfit is the result of a random selection? (b) What is the probability that he wears at least one blue item tomorrow?

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QUESTION:

Mr. Smith has 12 shirts, eight pairs of slacks, eight ties, and four jackets. Suppose that four shirts, three pairs of slacks, two ties, and two jackets are blue. (a) What is the probability that an all-blue outfit is the result of a random selection? (b) What is the probability that he wears at least one blue item tomorrow?

ANSWER:

Step 1 of 3

Mr. Smith has items, 12 shirts, 8 pairs of slacks, 8 ties, and 4 jackets.

First he chooses 4 shirts from total of 12 shirts so the probability of selecting shirts is given as:

Similarly, secondly he chooses 3 pairs of slacks from 8 pairs of slacks so the probability of selecting slacks is:

The probability of selecting 2 ties from total of 8 ties is:

The probability of selecting 2 jackets from total of 4 jackets is:

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