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Question
All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is
(i) a red card
(ii) a face card
(iii) a card of clubs
Solution
Total number of cards in a deck = 52
Number of red face cards in a deck = 6
Number of cards left in the deck if all red face cards are removed = 52−6 = 46
(i)Total number of red cards left in the deck = 26−6 = 20
Probability that the card drawn is red = `"Total favourable number of cards"/"Total number of cards"=20/46=10/23`
(ii)Total number of face cards left in the deck = 12−6 = 6
Probability that the card drawn is a face card = `"Total favourable number of cards"/"Total number of cards"=6/46=3/23`
(iii)Total number of cards of clubs in the deck = 13
Probability that the card drawn is a card of clubs = `"Total favourable number of cards"/"Total number of cards"=13/46`
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