1.

A box contains cards numbered 11 to 128. A card is drawn at random from the box. Find the probability that the number of the drawn card is(i) A perfect Square number(ii) A multiple of 7.

Answer»

No. of all possible outcomes = 113

(i) Perfect square numbers between 11 to 123 area 16,

25, 36, 49, 64, 81, 100, 121

No. of all favourable outcomes = 8

P(Number drawn is Perfect square) = 8/113

(ii) No. of multiples of 7 from 11, to 123 = 16.

14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91,98, 105, 112, 119

P(number drawn card is multiple of 7) = 16/113



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