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(i) (ii) (iii) (iv) One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a face card. a non face card an ace of black suit a king of diamond |
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Answer» ong>Answer: Total no. of cards = 52 P(E) =No. of favourable outcomes/Total number of outcomes (i) No. of FACE cards = 12 (3 per suit, king queen jack) P(getting a face card) = No. of face cards/Total no. of cards = 12/52 = 3/13 (II) No. of NON face cards = 40 (10 per suit, Ace-10) P(getting a non face card) = No. of non face cards/Total number of cards = 40/52 = 10/13 OR (alternate method) P(E) + P(not E) = 1 P(getting a face card) + P(getting a non face card) = 1 P(getting a non face card) = 1 - P(getting a face card) P(getting a non face card) = 1 - 3/13 = (13- 3)/13 = 10/13 (iii) No. of black aces = 1 P(getting a black ace) = No. of black aces/Total number of cards = 1/52 P(getting a diamond king) = No. of diamond kings/Total number of cards = 1/52 |
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