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The probability that a student is not a ...

The probability that a student is not a swimmer is `1/5`. Then the probability that out of five students, four are swimmers is (A) `^5C_4(4/5)^41/5` (B) `(4/5)^41/5`(C) `^5C_1 1/5(4/5)^4` (D) None of these

Text Solution

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Probability a student is not a swimmer `q=1/5`
Probability a student is a swimmer `p=1-1/5=4/5`
Probability that out of five students, four are swimmers,`P(X)=
5_(C_4)(p)^4(q)`
`P(X) = 5_(C_4)(4/5)^4(1/5)`
Also, we know , `5_(C_1) = 5_(C_4)`
It means, option `A` and iption `C`, both are correct.
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