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Question
Two cards are drawn from a pack of 52 cards. Find the probability that both are ace cards.
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Solution
Two cards can be drawn from a pack of 52 cards in 52C2 ways.
∴ n(S) = 52C2
Let C be the event that both the cards drawn are aces.
In a pack of 52 cards, there are 4 ace cards.
∴ 2 ace cards can be drawn from 4 ace cards in 4C2 ways
∴ n(C) = 4C2
∴ P(C) = `("n"("C"))/("n"("S"))`
= `(""^4"C"_2)/(""^52"C"_2)`
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