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One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing

(i) An ace

(ii) A 4 of spades

(iii) A '9' of a black suit

(iv) a real king.

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Best answer

Total number of all possible outcome  = 52

(i) Total Number of aces = 4

Therefore, P(getting an ace) = \(\frac{4}{52}\) = \(\frac{1}{13}\)

(ii) Number of 4 of spades = 1

Therefore, P(getting a 4 of spades) = \(\frac{1}{52}\)

(iii) Number of 9 of a black suit = 2

Therefore, P(getting a 9 of a black suit) = \(\frac{2}{52}\) = \(\frac{1}{26}\)

(iv) Number of red kings = 2

Therefore, P(getting a red king) = \(\frac{2}{52}\) = \(\frac{1}{26}\)

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