Question:medium
A cricket umpire has to pick 6 caps and 4 sweaters before a match. She picks up 3 articles at random. Determine the probability that at least one sweater was picked by the umpire ?
A cricket umpire has to pick 6 caps and 4 sweaters before a match. She picks up 3 articles at random. Determine the probability that at least one sweater was picked by the umpire ?
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``At least one'' problems are easier via complement: P(at least 1) $= 1 -$ P(none). Here P(0 sweaters) $= \binom{6}{3}/\binom{10}{3} = 20/120 = 1/6$.
Updated On: Mar 26, 2026
- 1/6
- 1/12
- 2/3
- 5/6
- 5/11
Show Solution
The Correct Option is D
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