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Question
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is divisible by 6
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Solution
One ticket is drawn from tickets numbered 1 to 75.
∴ sample space S is given by
S = {1, 2, 3, ..., 74, 75}
∴ n(S) = 75
A ≡ event that number on the ticket is divisible by 6
∴ A = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
∴ n(A) = 12
∴ P(A) = `("n"("A"))/("n"("S"))`
= `12/75`
= `4/25`
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