Question

Aap box has number 114 299 cards are mixed thoroughly and a card is drawn from the bag at random find the probability that the number of the card number on the card drawn from the box is an odd number of perfect square number divisible by 7

Answer 1

Total no. of cards 86, i.e., (S) 86 () Let A be the favourable outcomes of getting an odd number. Then, A 15,17,19,21,23,25,27,29,31,33,35, 37, 39,41,43,45,47,49, 51,53, 55,57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99) n( A) 43 Therefore, P(A)- nA)43 n(S862 (i) Let B be the favourable outcomes of getting a perfect square number. Then, B 16, 25,36, 49, 64,81) i.e., n (B) 6 Therefore n(B) 6 3 n(S) 86 43 (ii) Let C be the favourable outcomes of getting a number divisible by 7. Thern C 14,21,28,35,42,49,56,63,70,77,84, 91,98) i.e., n( C) 13 Therefore,

P(c) C)13 n(S) 86 2 3