A dice is thrown 100 times . If getting an even number is considered a success , then the variance of the number of successes is

Options

A. 10
B. 25
C. 18
D. 12

Answer

B

Explanation

Let X denote the number of successes in 100 trials. Then, X follows binomial distribution with `n=100` and `p=(3)/(6)=(1)/(2)`.
`therefore`Variance of `X=npq =100xx(1)/(2)xx(1)/(2)=25`.