If the probability that a person is not a swimmer is 0.3, then the probability that out of 5 persons 4 are swimmers is

Options

A. `""^(5)C_(4)(0.7)^(4)(0.3)`
B. `""^(5)C_(1)(0.7)(0.3)^(4)`
C. `""^(5)C_(4)(0.7)(0.3)^(4)`
D. `(0.7)^(4)(0.3)`

Explanation

To solve the problem, we will use the binomial probability formula. The question states that the probability that a person is not a swimmer is \(0.3\). Therefore, the probability that a person is a swimmer, \(p\), is:

\[ p = 1 - 0.3 = 0.7 \]

We need to find the probability that out of 5 persons, exactly 4 are swimmers.

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