Question

A high school basketball team score 70 or more points in 48% of its game. The team win 75% of the time when it scores 70 or more points. The team wins 26% of the time when is scored fewer than 70 points. What is the probability that the team wins a game?

Answer 1

49.52%

Explanation:

To find the probability of the team winning a game, we just need to sum the probability of winning when it scores 70 or more points and the probability of winning when it scores less than 70 points.

The probability of scoring 70 or more points is 48%, so the probability of scoring less than 70 points is 100% - 48% = 52%

So the probability of scoring more than 70 points and win is 48% * 75% = 0.48 * 0.75 = 0.36

The probability of scoring less than 70 points and win the game is 52% * 26% = 0.52 * 0.26 = 0.1352

So the probability of winning the game is 0.36 + 0.1352 = 0.4952 = 49.52%