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Question
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a face card.
Solution
There are 6 red face cards. These are removed.
Thus, remaining number of cards = 52 − 6 = 46.
Number of face cards now = 12 − 6 = 6.
∴ P(getting a face card) =`("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 6/46 = 3/23`
Thus, the probability that the drawn card is a face card is `3/23`.
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