Question

The Westerburg High School Soccer Team performs differently in the rain than they do when it doesn't rain. When it rains they have a 80% chance of winning, but when it doesn't rain they have a 50% chance of winning.
Today there is a 60 % of rain. What is the chance that they win their game today?

A)48%B)50%C)52%D)68%

Answer 1

The correct answer is Choice D: 68%.

You have to make a tree diagram with all of the possibilities.

Here are the possibilities:

Rain - Win = 0.6 x 0.8 = 0.48
Rain - Loss = 0.6 x 0.2 = 0.12

No Rain - Win = 0.4 x 0.5 = 0.2
No Rain - Loss = 0.4 x 0.5 = 0.2

Adding up the two winning options gives us 68%
0.48 + 0.2 = 0.68