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
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) - ${ }^5 C_4\left(\frac{1}{5}\right)\left(\frac{4}{5}\right)^4$
$P(X=4)={^5C}_4×(\frac{4}{5})^4×\frac{1}{5}$