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# If 3 people are randomly selected from 5 men and 3 women,

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Manager
Joined: 18 Jun 2004
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Location: san jose , CA
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Kudos [?]: 32 [0], given: 0

If 3 people are randomly selected from 5 men and 3 women, [#permalink]  14 Dec 2004, 22:49
If 3 people are randomly selected from 5 men and 3 women, what is the probability that at least one man is selected?
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Senior Manager
Joined: 19 May 2004
Posts: 291
Followers: 1

Kudos [?]: 9 [0], given: 0

1-1/56 = 55/56.

Whenever you see "At least" Think of "1 minus"

In this case the probability of choosing women only,
is (3C3)/(8C3) = 1/56.
You can also get it this way: 3/8 * 2/7 * 1/6 =1/56.
It's like trying to pick 3 women one by one.

1-1/56 = 55/56.
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