Problem 115E

A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are independent, what is the probability the team wins all its conference games?

Answer:

Step 1 of 1:

Given,

P( winning when playing any of the other four teams in its conference) = 0.75

If the games are independent, then the claim is to find the probability that the team wins all its conference games.

Then P(all 4 wins) = (0.75) (0.75) (0.75) (0.75)

= 0.3164

Hence, the claim is to find the probability that the team wins all its conference games is 0.3164