math

A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up.

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  1. This is an example of conditional probability
    P(A│B) read: the probabiltiy of B, given A
    = P(A and B)/P(B)

    P(A and B) = (1/6)(1/2) = 1/12
    P(B) = 1/2
    so P(A│B) = (1/12)/(1/2) = 1/6

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