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Question
Two cards are drawn from a pack of 52 cards. Find the probability that both are black.
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Solution
Two cards can be drawn from a pack of 52 cards in 52C2 ways.
∴ n(S) = 52C2
Let A be the event that both the cards drawn are black.
The pack of 52 cards contains 26 black cards.
∴ 2 cards can be drawn from them in 26C2 ways
∴ n(A) = 26C2
∴ P(A) = `("n"("A"))/("n"("S"))`
= `(""^26"C"_2)/(""^52"C"_2)`
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