# A box contains ca

S (Sample Size) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10,

11, 12, 13, 14, 15, 16, 17, 18, 19, 20,

21, 22, 23, 24, 25, 26, 27, 28, 29, 30,

31, 32, 33, 34, 35, 36, 37, 38, 39, 40,

41, 42, 43, 44, 45, 46, 47, 48, 49, 50,

51, 52, 53, 54, 55, 56, 57, 58, 59, 60,

61, 62, 63, 64, 65, 66, 67, 68, 69, 70,

71, 72, 73, 74, 75, 76, 77, 78, 79, 80,

81, 82, 83, 84, 85, 86, 87, 88, 89, 90,}

Total number of elementary events = 90

(i) Total no. of 2digit numbers = 81

Total number of favorable events = 81

Hence, probability of a two-digit number is .

(ii) Perfect squares = {1, 4, 9, 16, 25, 36, 49, 64, 81}

Total no. of perfect squares = 9

Total number of favourable events = 9

Hence, probability of a perfect square is .

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