Question

From a pack of 52 cards, red face cards are removed. After that a card is drawn at random from the pack. Find the probability that the card drawn is
(i) a queen
(ii) a red card
(iii) a spade card

Answer 1

No. of red face cards = 6
No. of cards left = 52 - 6
= 46

(i) No. of queens left = 2 (total = 4 but as queen is a face card, 2 red queens are removed)

P(a queen) = 2/46
= 1/23

(ii) No. of red cards left = 26 - 6
= 20

P(a red card) = 20/46
= 10/23

(iii) Total no. of spade cards = 13

P(a spade card) = 13/46.

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