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Question
In a single toss of a fair die, what are the odds against the event that number 3 or 4 turns up?
Solution
When a fair die is tossed once, the sample space S is given by
S = {1, 2, 3, 4, 5, 6}
∴ n(S) = 6
Let A ≡ the event that number 3 or 4 turns up
∴ A = {3, 4}
∴ n(A) = 2
∴ P(A) = `("n"("A"))/("n"("S")) = 2/6 = 1/3`
∴ P(A') = 1 – P(A) = `2/3`
∴ odds against event A = P(A') : P(A)
= `2/3 : 1/3`
= 2 : 1
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