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Question
Two dice are rolled, find the probability that the sum is equal to 4
Solution
Sample space (S) = {(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)}
n(S) = 36
Let E2 be the event of getting the sum is equal to 4
E2 = {(1, 3) (2, 2) (3, 1)}
n(E2) = 3
p(E2) = `("n"("E"_2))/("n"("S"))`
= `3/36`
= `1/12`
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