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One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (i) a king of red colour, (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds. |
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Answer» Total number of cards = 52 (i) P(One red king) = \(\frac{2}{52} = \frac{1}{26}\) (ii) Number of a face card : 4 king, 4 queen, 4 jack = Total 12 cards ∴ P(1 face card) = \(\frac{12}{52} = \frac{3}{13}\) (iii) One red colour face card = 6 ∴ P(1 red face card) = \(\frac{6}{52} = \frac{3}{13}\) (iv) P(Heart Jack) = \(\frac{1}{52}\) (v) P(1 spade) = \(\frac{13}{52} = \frac{1}{4}\) (vi) P(Diamond card) = \(\frac{1}{52}\) |
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