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

Answer 1

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`