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Question

Red queens and black jacks are removed from a pack of 52 playing cards. A cards is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is

(i) a king        (ii) of red colour       (iii) a face card       (iv) a queen


Solution

(a) When 4 cards are removed from the deck, then
no. of remaining cards in deck = 52- 4 = 48

No.of kings in deck = 4

P( a king) = 4/48 = 1/12

(b) No. of red colours card remaining = 26 - 2 = 24 ( as 2  red queens are removed)

P(of red colour) = 24/48 = 1/2

(c) No. of face cards remaining = 12-4 = 8 [as black jacks(2) and red queens(2) are removed]

P(a face card) = 8/48 = 1/6

(d) no. of queens remaining = 2

P(a queen) = 2/48 = 1/24

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