(10%) A group of four women and six men must select a five-person committee. a) Find the probability of getting a committee of three women and two men. b) Find the probability of getting a committee of one woman and four men.
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Step 1
- Select 3 women out of 4: \(4C3 = 4\) - Select 2 men out of 6: \(6C2 = 15\) - Total ways to select a 5-person committee out of 10: \(10C5 = 252\) - Probability = \(\frac{4 \times 15}{252} = 0.238\) Show more…
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