Q. 15

# The probability that a student is not a swimmer is 1/5. Then the probability that out of five students, four are swimmers isA. B.C. D. None of these

In this question, let us assume X represent the number of students out of 5 who are swimmers

Also, the repeated selection of students who are swimmers are the Bernoulli trials

Thus, probability of students who are not swimmers

Clearly, we have X has the binomial distribution where n = 5

And,

Hence, probability that four students are swimmers = P (X = 4)

option A is correct

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