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Question
All kings and queens are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is randomly drawn from it. Find the probability that this card is a red face card
Solution
In a pack of 52 playing cards, there are 4 queen and 4 king cards.
All the king and queen cards are removed from the pack. Then, Number of remaining cards = 52 − (4 + 4) = 44
∴ Total number of outcomes = 44
There are 2 red face cards (2 red jacks) in the remaining pack of cards.
So, the favourable number of outcomes are 2.
∴ P(getting a red face card) =\[\frac{\text{ Favourable number of outcomes }}{\text{Total number of outcomes}} = \frac{2}{44} = \frac{1}{22}\]
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