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Question

One card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card drawn is
(i) a king
(ii) a spade
(iii) a red queen
(iv) a black 8.

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Solution

Total number of possible outcomes=52
(i) There are 4 kings cards (king of hearts, king of diamonds, king of spades and king of cloves)
Number of kings=4
Pking=452=113

(ii) There is a total of 13 spades cards.
Number of spades=13
Pspades=1352=14
(iii) There are 2 red queens in a pack (queen of hearts and queen of diamonds)
Number of red queens =2
Pred queen=252=126
(iv) There are 2 black 8s in a pack (8 of cloves and 8 of spades)
Number of black 8s =2
Pblack 8=252=126

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