A game of numbers has cards marked with 11,12,13,........40, A card is

1.	A game of numbers has cards marked with 11,12,13,........40, A card is drawn at random. find the probability that the number on the card drawn is:(i) A perfect square(ii) Divisible by 7
Answer» When a card is drawn at random, the possible outcomes are 11, 12,13 ..... 40 Clearly, total number of all possible nutcomes = 30 (i) For getting a perfect square: The favourable outcomes are 16,25,36 No, of favourable outcomes = 3 Required probability = 3/30 = 1/10 (ii) For getting a number divisible by 7: The favourable outcomes are: 14,21,28,35 No. of favourable outcomes = 4 Required probability = 4/30 = 2/15

A game of numbers has cards marked with 11,12,13,........40, A card is drawn at random. find the probability that the number on the card drawn is:(i) A perfect square(ii) Divisible by 7

Answer»

When a card is drawn at random, the possible outcomes are 11, 12,13 ..... 40

Clearly, total number of all possible nutcomes = 30

(i) For getting a perfect square:

The favourable outcomes are 16,25,36

No, of favourable outcomes = 3

Required probability = 3/30 = 1/10

(ii) For getting a number divisible by 7:

The favourable outcomes are: 14,21,28,35

No. of favourable outcomes = 4

Required probability = 4/30 = 2/15