SOLUTION: A three-person committee is chosen at random from a group of 6 women and 5 men. Find the probability that the committee contains at least one man.

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Question 1021036: A three-person committee is chosen at random from a group of 6 women and 5 men. Find the probability that the committee contains at least one man.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The complement of the event that the committee contains at least one man is the event that there is NO man in the committee.
The probability of that there is no man in the committee is C%286%2C3%29%2FC%2811%2C3%29+=+4%2F33.
Therefore the probability that the committee contains at least one man is 1-4%2F33+=+29%2F33