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.

(i) Total number cards in a deck = 52


Number of kings in a deck of cards = 4


Probability P() =


Probability of drawing a king from the deck of cards P(king)


= = =


(ii) Total number cards in a deck = 52


Number of spades in a deck of cards = 13


Probability P() =


Probability of drawing a spade from the deck of cards P(spade)


= = =


(iii) Total number cards in a deck = 52


Chances of drawing a Red queen from the deck of cards = 2 (they are queen of hearts and queen of diamonds)


Probability P() =


Probability of drawing a Red queen from the deck of cards P(Red queen)


= = =


(iv) Total number cards in a deck = 52


Chances of drawing a black 8 from the deck of cards = 2 (they are 8 of clubs and 8 of spades)


Probability P() =


Probability of drawing a black 8 from a deck of cards P(black 8)


= = =


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