The probability that a student is not a swimmer is 1/5. Then the probability that out of five students, four are swimmers is
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