SOLUTION: Three people are selected at random from a group of 10 men and 15 women. Find the probability that all three of them are women.

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Question 1095711: Three people are selected at random from a group of 10 men and 15 women. Find the probability that all three of them are women.
Answer by KMST(5328) About Me  (Show Source):
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There are 25%2A24%2A23%2F%282%2A3%29 possible groups of 3 people that can be formed from the 25 people available.
Of those, 15%2A14%2A13%2F%282%2A3%29 are made of 3 women,
because that is the number of groups of 3 women that you can form from the 15 women available.
The groups made of 3 women, as a fraction of all the groups of 3 people, are
.
That is the probability that all three people are women.