Acomputer chess game and a human chess champion are evenly matched. they play twelve games. find probabilities for the following events. (round all answers to four decimal places.) (a) they each win six games.

The probability that they each win six games is 0.225.      

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

The probability that they each win six games is k=6.

Therefore, The probability that they each win six games is 0.225.