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Question
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is drawn from it. Find the probability that the drawn card is a black face card.
Solution
There are 4 kings, 4 queens and 4 aces. These are removed.
Thus, remaining number of cards = 52 − 4 − 4 − 4 = 40.
Number of black face cards now = 2 (only black jacks).
∴ P(getting a black face card) =`("Number of favourable outcomes")/"Number of all possible outcomes"`
Thus, the probability that the drawn card is a black face card is `1/20`.
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