Question

Connor researched the history of
10
,
000
10,000 former high school basketball ​players to see whether they played basketball in college and/or ​professionally.

​The results are displayed in the table below.

​ Played basketball in college​ ​Did not play basketball in college
Played basketball
professionally​

​
32
32 ​
3
3
​Did not play basketball
professionally

​
468
468 ​
9
,
497
9,497
A player is to be selected at random out of the
10
,
000
10,000 former high school ​basketball players.


​Part A

What is the probability that the selected player played basketball ​professionally, given that the player played basketball in college? Express your answer as a percentage.

​
%



​Part B

What is the probability that the selected player played basketball in ​college, given that the player played basketball professionally?

​Express your answer as a percentage rounded to the nearest tenth.

​
%

Answer 1

Part A
P(professional | played college) = 32 / (32 + 468) = 32 / 500 = 0.064 = 6.4%

Part B
P(played college | professional) = 32 / (32 + 3) = 32 / 35 ≈ 0.9142857 = 91.4% (to the nearest tenth)