A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears.
A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears.
(i) a two digit number
(ii) a number which is a perfect square
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Total no. of possible outcomes = 89 {2, 3, 4, …., 90}
(i) Let E ⟶ event of getting a 2 digit no.
No. favourable outcomes = 81 {10, 11, 12, 13, ….., 80}
P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes) = 81/89
(ii) E ⟶ event of getting a no. which is perfect square
No. favourable outcomes = 8 {4, 9, 16, 25, 36, 49, 64, 81}
P(E) = 8/89
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