Question

In Statsville, MA, 76% of households own cars, 12% own motorcycles, and 8% of households own both. What is the probability that a person owns a motorcycle, given they own a car?

Answer 1

The answer is 0.105

Explanation:

Let cars =C and motorcycles=M.

now, P(C)=76 percent =0.76

P(M)=12 percent=0.12

P(C∩M)=8 percent =0.08

Then, the probability that a person owns a motorcycle, given they own a car, is a conditional probability given by the definition

P(M/C)=
`(P(M∩C)/(P(C))`=
`(0.08)/(0.76)`=0.105

Therefore, the answer is 0.105

I believe it is well understood.