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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?

Respuesta :

funkeyusuff52

Answer:

The answer is 0.105

Step-by-step 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)=[tex]\frac{P(M∩C}{P(C)}[/tex]=[tex]\frac{0.08}{0.76}[/tex]=0.105

Therefore, the answer is 0.105

I believe it is well understood.

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