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Question
A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is a prime number.
Solution
Let E2 be the event of getting a prime number.
Out of the given numbers, prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and 23.
Number of favourable outcomes = 9
∴ P(getting a prime number) = P(E2) = `("Number of outcomes favourable to" E_2)/"Number of all possible outcomes"`
`= 9/25`
Thus, the probability that the number on the drawn card is a prime number is `9/25`.
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