A box contains 17 cards numbered 1, 2, 3…….., 17 and are mixed thoroughly. A card is drawn at random from the box. Find the probability that the number on that card is
(i) odd
(ii) even
(iii) prime
(iv) divisible by 3
(v) divisible by 2 and 3 both
Given A box contains 17 cards numbered 1 to 17 So, total number of outcomes = 17
(i) Card bearing odd number (1, 3, 5, 7, 9, 11, 13, 15, 17) = 9 Therefore, Probability P(E) = 9 / 17
(ii) Even number (2, 4, 6, 8, 10, 12, 14, 16) = 8 Therefore, Probability P(E) = 8 / 17
(iii) Prime numbers (2, 3, 5, 7, 11, 13, 17) = 7 Therefore,
Probability P(E) = 7 / 17
(iv) Numbers divisible by 3 3, 6, 9, 12, 15 = 5 Therefore, Probability P(E) = 5 / 17
(v) Numbers divisible by 2 and 3 both 6, 12 = 2 Therefore, Probability P(E) = 2 / 17
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