Question

Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%

Answer 1

The probability that Kyle will pick a girl who likes football is 12.5%.

Explanation:

The data provided is as follows:

Boys Girls Total

Basketball 10 8 18

Football 25 7 32

Soccer 9 19 28

Baseball 18 22 40

Total 62 56 118

Compute the probability that Kyle will pick a girl who likes football as follows:

`P(F|G)=(n(G\cap F))/(n(G))`

`=(7)/(56)\\\\=0.125\\\\=12.5\%`

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.