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A box contains 25 cards numbered from 1 ...

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 (i) divisible by 2 or 3, (ii) a prime number.

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The correct Answer is:
`(1) 16/25 (ii) 9/25`
Number of all possible outcomes = 25.
(i) Numbers divisible by 2 or 3 are 2,4,6,8,10,12,14,16,18,20,22,24,3,9,15,21.
Their number is 16.
`:. ` P(getting a number divisible by 2 or 3) = `16/25`.
(ii) Prime numbers from 1 to 25 are 2,3,5,7,11,13,17,19,23.
Their number is 9.
` :. ` P(getting a prime number) = ` 9/25`.
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