Question

At a high school, 14% of all students play a sport and 9% of all students play a

sport and participate in a club. What is the probability that a student participates in
a club given that they also play a sport?
A. 0.05
B. 0.126
C. 1.556
D. 0.643

Answer 1

0.643

Explanation:

Let, s = play a sport

c = participate in a club

P(s) = 0.14

P(s n c) = 0.09

probability that a student participates in

a club given that they also play a sport = P(c | s)

P(c | s) = P(c n s) / P(s)

P(c | s) = 0.09 / 0.14

P(c | s) = 0.64285

= 0.643