From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of it being either a red king or a black queen.

Solution :

Total number of cards n(S) = 52

Let "A" be the event of getting red king card.

n(A) = 2

P(A) = n(A) / n(S) = 2/52

Let "B" be the event of getting black queen card.

n(B) = 2

P(B) = n(B) / n(S) = 2/52

Since A and B are mutually exclusive events, A n B = 0

P(A U B) = P(A) + P(B) - P(A n B)

P(A U B) = (2/52) + (2/52) - 0

P(A U B) = 4/52

P(AUB) = 1/13

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