Question 876059
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) = <font color="red">0.5625</font>