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प्रश्न
Four cards are drawn from a pack of 52 cards. Find the probability that all cards are club and one of them a jack.
उत्तर
4 cards can be drawn out of 52 cards in 52C4 ways.
∴ n(S) = 52C4
Let D be the event that all the 4 cards drawn are clubs and one of them is a jack.
In a pack of 52 cards, there are 13 club cards having 1 jack card.
∴ 1 jack can be drawn in 1C1 way and the other 3 cards can be drawn from the remaining 12 club cards in 12C3 ways.
∴ n(D) = 1C1 × 12C3
∴ P(D) = `("n"("D"))/("n"("S"))`
= `(""^12"C"_3xx""^1"C"_1)/(""^52"C"_4)`
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