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प्रश्न
Two cards are drawn from a pack of 52 cards. Find the probability that both are from same suit.
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उत्तर
Two cards can be drawn from a pack of 52 cards in 52C2 ways
∴ n(S) = 52C2
Let F be the event that both the cards drawn are of the same suit.
A pack of 52 cards consists of 4 suits each containing 13 cards.
2 cards can be drawn from a suit in 13C2 ways.
A suit can be selected in 4 ways.
∴ n(F) = 13C2 × 4
∴ P(F) = `("n"("F"))/("n"("S"))`
= `(4xx""^13"C"_2)/(""^52"C"_2)`
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