Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from remaining cards, after reshuffling them. Find the probability that the drawn card is (i)A face card (ii) a queen
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No. of red queens = 2
No. of black jacks = 2
Total no. of cards after the removal of red queens and black jacks = 52 - 4
= 48
(i) No. of face cards after the removal of red queens and black jacks = 12 - 4
= 8
P(getting a face card)
= No. of face cards / Total no. of cards
= 8/48
= 1/6
(ii) No. of queens after the removal of red queens = 4 - 2
= 2
P(getting a queen)
= No. of queens / Total no. of cards
= 2/48
= 1/24
Answer:
(i) Probability of getting a face card = 1/6
(ii) Probability of getting a queen = 1/24
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