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 (i) There are 4 kings cards (king of hearts, king of diamonds, king of spades and king of cloves) Number of kings ∴
(ii) There is a total of 13 spades cards. Number of spades ∴ (iii) There are 2 red queens in a pack (queen of hearts and queen of diamonds) Number of red queens ∴
(iv) There are 2 black 8s in a pack (8 of cloves and 8 of spades) Number of black 8s ∴