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प्रश्न
Two cards are drawn from a pack of 52 cards. Find the probability that both are red cards
उत्तर
Two cards can be drawn from a pack of 52 cards in 52C2 = `(52 xx 51)/(1 xx 2)` = 26 × 51 ways
∴ n(S) = 26 × 51
Let D ≡ the event that both the cards are red cards
There are 26 red cards
∴ two red cards can be chosen in 26C2
= `(26xx25)/(1xx2)`
= 13 × 25 ways
∴ n(D) = 13 × 25
∴ the reqwred probability = P(D) = `("n"("D"))/("n"("S"))`
= `(13 xx 25)/(26 xx 51)`
= `25/102`
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