Question

You are going to play two games. The probability you win the first game is 0.60. If you win the first game, the probability you will win the second game is 0.75. If lose the first game, the probability you win the second game is 0.55. What is the probability you win exactly one game? (Round your answer to two decimal places)

Answer 1

The probability that you win exactly one game is:

0.37

Explanation:

• The probability you win the first game is 0.60.

• If you win the first game, the probability you will win the second game is 0.75.

• If lose the first game, the probability you win the second game is 0.55.

The probability that you win exactly one game is:

Probability you win first but not second+Probability you win second but not first.

= 0.60×0.25+0.40×0.55

= 0.37

( since probability of losing second game when you win first is: 1-0.75=0.25

and probability that you lose first game is: 1-0.60=0.40 )