Mathematics for IGCSE & O level - Probability (Section 6 - No. 2)
A committee of 3 people is to be selected from a group of 5 men and 7 women. If the selection is random, and the events of selecting each person are considered independent, what is the probability of selecting 3 women?
(7/12) * (6/11) * (5/10)
3/7
7/12
1/12
Explanation
The probability is calculated by considering the probability of picking a woman in the first, second, and third selection respectively. Since each draw changes the composition of the group, (7/12) * (6/11) * (5/10).
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