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Question:

All the red face cards 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 drawn card is a) of red color b) a queen c) an ace d) a face card

Solution:

Total number of cards in a deck=52
(a) Total red face cards removed=6
Remaining cards = 52 - 6 = 46
Number of red colour cards in the remaining pack=26-6=20
Probability of getting of red colour=20/46=10/23
(b) Number of queen cards in the remaining pack=2
P(E)=2/46=1/23
(c) Number of aces in the remaining pack=4
P(E)=4/46=2/23
(d) Number of face cards in the remaining pack=6
P(E)=6/46=3/23