Q. 285.0( 3 Votes )

# A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is

(i) divisible by 2 or 3,

(ii) a prime number.

Answer :

(i) Numbers divisible by 2 or 3 from 1 to 20 are 2,3, 4, 6, 8,9, 10, 12, 14,15, 16, 18, 20

So, Favourable number of outcomes = 13

Total outcomes = 20

(ii) Prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17, 19

So, Favourable outcomes = 8

Total outcomes = 20

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