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The probability that a student is not a swimmer is $\frac{1}{5}$. Then, the probability that out of 5 students, 4 are swimmers is |
${ }^5 C_4\left(\frac{1}{5}\right)\left(\frac{4}{5}\right)^4$ ${ }^5 C_4\left(\frac{1}{5}\right)^4\left(\frac{4}{5}\right)$ ${ }^5 C_3\left(\frac{1}{5}\right)^2\left(\frac{4}{5}\right)^3$ $\left(\frac{4}{5}\right)^4\left(\frac{1}{5}\right)$ |
${ }^5 C_4\left(\frac{1}{5}\right)\left(\frac{4}{5}\right)^4$ |
The correct answer is Option (1) - ${ }^5 C_4\left(\frac{1}{5}\right)\left(\frac{4}{5}\right)^4$ |
