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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 - Mathematics and Statistics

Sum

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`

Concept: Basic Terminologies
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