Question

In a chess club the probability that Shaun will beat Mike is 3/8 .

The probability that Shaun will beat Tim is 5/7 .
(Assume all the games are independent of one another)
If Shaun plays 1 game with Mike and then 1 game with Tim, what is the probability that Shaun loses both games?

Answer 1

11%

Explanation:

Shaun's percentage of winning against Mike is 8/11 or 73%

Shaun's percentage of winning against Tim is 7/12 or 58%

Shaun's percentage of losing against Mike is 100-73 = 27%

Shaun's percentage of losing against Tim is 100-58 = 42%

Shaun's percentage of losing against Mike and Tim is .27 x .42 which is approximately 11%