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Question
A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number?
Solution
Sample Space (S) = {23, 25, 27, 29, 32, 35, 37, 39, 52, 53, 57, 59, 72, 73, 75, 79, 92, 93, 95, 97}
∴ n(S) = 20
Event A: the number is odd
∴ A = {23, 25, 27, 29, 35, 37, 39, 53, 57, 59, 73, 75, 79, 93, 95, 97}
∴ n(A) = 16
∴ `"P" ("A") = ("n"("A"))/("n"("S"))`
= `16/20`
= `4/5`
Hence, the probability that the number is odd is `4/5`
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