SOLUTION: The probability of a student owning a car is 0.32. The probability of a student owning both a car and a bike is 0.18. What is the probability of a student owning a bike if they own

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Question 876059: The probability of a student owning a car is 0.32. The probability of a student owning both a car and a bike is 0.18. What is the probability of a student owning a bike if they own a car?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Given: They own a car
We want to find P(B|C). This is the probability of having a bike given they own a car.

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C: student owns a car
B: student owns a bike

P(C): probability student owns a car
P(B): probability student owns a bike
P(C and B): probability student owns a bike and a car at the same time

Note: P(C and B) = P(B and C)

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"The probability of a student owning a car is 0.32"
P(C) = 0.32

"The probability of a student owning both a car and a bike is 0.18"
P(C and B) = 0.18

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P(B|C) = P(B and C)/(P(C))

P(B|C) = P(C and B)/(P(C))

P(B|C) = 0.18/0.32

P(B|C) = 0.5625