Question

All the black cards are removed from a pack of 52 playing cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of a getting a (1) face card , (2) red card (3) Black card (4) king.

Answer 1

Hii friend,

Out of 52 playing cards ; 2 black Jack's, 2 black queen and 2 black Kings have been removed.

Total Number of remaining cards = (52-6) = 46

(1) There are 6 face cards in the remaining cards .

Favourable outcomes = 6

Therefore,

P(Getting a face card) = Favourable outcomes/Possible outcomes = 6/46 = 3/23

(2) There are 26 red cards

Therefore,

Favourable outcomes = 26

P(Getting a red cards) = Favourable outcomes/Possible outcomes = 26/46 = 13/23

(3) Out of 46 cards , Number of black cards = 26 - 6 = 20

Favourable outcomes = 20

Therefore,

P(getting a black card) = Favourable outcomes/Possible outcomes = 20/46 = 10/23


(4) There are 2 Kings in these 46 cards

Therefore,

Favourable outcomes = 2

P(Getting a king) = Favourable outcomes/Possible outcomes = 2/46 = 1/23.


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