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Question
From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of its being either a red king or a black queen
Solution
n(S) = 52
Let A be the event of getting a red king
n(A) = 2
P(A) = `("n"("A"))/("n"("S")) = 2/52`
Let B be the event of getting a black Queen king
n(B) = 2
P(B) = `("n"("B"))/("n"("S")) = 2/52`
It A and B are mutually exclusive
P(A ∪ B) = P(A) + P(B)
= `2/52 + 2/52`
= `4/52`
= `1/13`
The required probability is `1/13`
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