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Probability

Question

Wired Faculty App

Two dice are thrown. Find the probability of getting an odd number on the first die and a multiple of 3 on the other.

Solution

Let A and B denote the two events.

therefore space space space straight P left parenthesis straight A right parenthesis space equals space straight P left parenthesis 1 comma space 3 comma space 5 right parenthesis space equals space 3 over 6 space equals space 1 half comma space space space straight P left parenthesis straight B right parenthesis space equals space straight P left parenthesis 3 comma space 6 right parenthesis space equals space 2 over 6 space equals space 1 third

Required probability =

straight P left parenthesis straight A space straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis space straight P left parenthesis straight B right parenthesis space equals 1 half cross times 1 third space equals 1 over 6

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