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Question
Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a queen
Solution
In a pack of 52 playing cards, there are 2 red queens and 2 black jacks.
Red queens and black jacks are removed from the pack. Then,
Number of remaining cards = 52 − 4 = 48
∴ Total number of outcomes = 48
There are 4 queen cards in the pack, out of which 2 red queens are removed.
Number of queens in the remaining pack of cards = 4 − 2 = 2
So, the favourable number of outcomes are 2.
∴ P(getting a queen) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{2}{48} = \frac{1}{24}\]
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