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Probability

Question

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An unbiased die is thrown. Find the probability of getting 4, 5 or 6 in the first throw and 1, 2, 3 or 4 in the second throw.

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 4 comma space 5 comma space 6 right parenthesis space equals space 3 over 6 space equals space 1 half comma space space straight P left parenthesis straight B right parenthesis space equals space straight P left parenthesis 1 comma space 2 comma space 3 comma space 4 right parenthesis space equals space 4 over 6 space equals space 2 over 3 therefore space space required space probability space space equals space straight P left parenthesis AB right parenthesis space equals space straight P left parenthesis straight A right parenthesis. space straight P left parenthesis straight B right parenthesis space equals space 1 half cross times 2 over 3 space equals 1 third

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