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Question
Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is a prime number less than 40.
Solution
All possible outcomes are 2, 3, 4, 5................101.
Number of all possible outcomes = 100
Out of these, prime numbers less than 40 = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
Let E4 be the event of getting a prime number less than 40.
Then, number of favourable outcomes = 12
∴ P (getting a prime number less than 40) = `12/100 = 3/25`
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