Q:

Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. What is the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim? Assume that no players over 6 feet tall have good aim. A. B. C. D.

Accepted Solution

A:
Answer:P (over 6 feet tall or good aim) = 5/9Step-by-step explanation:We are given that there are a total of 27 players who are trying out for the school basketball team.8 of them are more than 6 feet tall while 7 of them have good aim.We are to find the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim, considering that no players over 6 feet tall have good aim.P (more than 6 feet tall) = [tex]\frac{8}{27}[/tex]P (good aim) = [tex]\frac{7}{27}[/tex]P (over 6 feet tall or good aim) = [tex]\frac{8}{27} + [/tex] [tex]\frac{7}{27}[/tex] = 5/9