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Question
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is prime?
Solution
The box contains 75 tickets numbered 1 to 75.
∴ 1 ticket can be drawn from the box in 75C1 = 75 ways.
∴ n(S) = 75
Let C be the event that the number on the ticket is a prime number
∴ C = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73}
∴ n(C) = 21
∴ P(C) = `("n"("C"))/("n"("S")`
= `21/75`
= `7/25`
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