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Question
If One coin and one die are thrown simultaneously, find the probability of the following events.
Event A: To get a tail and an even number
Solution
Sample space,
S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6),
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}
∴ n(S) = 12
Event A: To get a tail and an even number.
∴ A = {(T, 2), (T, 4), (T, 6)}
∴ n(A) = 3
∴ P(A) = `("n"("A"))/("n"("S"))`
∴ P(A) = `3/12`
∴ P(A) = `1/4`
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