# 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 prime - 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 prime

#### 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

C ≡ event that 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

Concept: Basic Terminologies
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