Question

A teacher surveyed his class about how many played a sport and worked part-time at a job. The Venn diagram shows her results. If a person from the class is randomly selected, what is the probability that person works part-time given that they play a sport?

a)3/5
b)2/5
c)2/11
d)3/11

P( works | sport )

Answer 1

2/ 5

Explanation:

From the venn diagram, find tbe probability ;

P(work | sport)

Recall :

P(A | B) = P(A n B) / P(B)

From the venn diagram :

P(work | sport) = P(work n sport) / P(sport)

P(work n sport ) = 4

P(sport) = 6 + 4 = 10

Therefore,

P(work | sport) = P(work n sport) / P(sport)

P(work | sport) = 4 / 10

P(work | sport) = 2/5