Question

Jane is a better tennis player than jack. if the probability that jane will beat jack in any given game is 0.7, what is the probability that they will each win one game if they play two games? (note that there are two ways they can arrive at this outcome: jane wins the first game or jack wins the first game.)

Answer 1

Probability of Jane wins is 0.7 and probability of JAck wins is 0.3 .

So if Jane wins the first game, so we get

Probability of Jane wins * probability of Jack loose.

$ 0.7*0.7 = 0.49  $

And if Jack wins the first game, so we get

Probability of Jack wins * probability of Jane loose.

$0.3*0.3=0.09$

So the probability that each of them win one game is

$= 0.49+0.09 = 0.58$