Question

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.

Answer 1

P(over 6 feet tall) = 8/27
P(good aim) = 7/27
P(over 6 feet tall or good aim) = 8/27 + 7/27 = 15/27 = 5/9

Answer 2

`\textbf{The probability of picking a player who is 6 feet tall}\\\textbf{and has a good aim = }\bf(5)/(9)`

Explanation:

Total number of players in basketball team = 27

Number of players more than 6 feet tall = 8

`\text{Probability of picking player over 6 feet tall = }(8)/(27)`

Number of players having good aim = 7

`\text{Probability of picking player having good aim = }(7)/(27)`

Now, we need to find the probability of picking a player who is 6 feet tall and also has a good aim : So, we will add both the calculated probabilities.

`\text{So, required probability = }(8)/(27)+(7)/(27)=(15)/(27)=(5)/(9)`

`\textbf{Hence, The probability of picking a player who is 6 feet tall}\\\textbf{and has a good aim = }\bf(5)/(9)`