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Two cards are drawn from a pack of 52 cards. Find the probability that both are face cards.

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#### Solution

Two cards can be drawn from a pack of 52 cards in ^{52}C_{2} ways.

∴ n(S) = ^{52}C_{2}

Let D be the event that both the cards drawn are face cards.

There are 12 face cards in a pack of 52 cards.

∴ 2 face cards can be drawn from 12 face cards in ^{12}C_{2} ways

∴ n(D) = ^{12}C_{2}

∴ P(D) = `("n"("D"))/("n"("S"))`

= `(""^12"C"_2)/(""^52"C"_2)`

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