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Question

In shuffling a pack of 52 playing cards, four arc accidently dropped ; find the chance that the missing cards should be one from each suit.

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Solution

Since from well-shuffled pack of cards, 4 cards missed out

n(S)=52C4

Let E be the event that four missing cards are from each suit

n(E)=13C1×13C1×13C1×13C1

P(E)=13C1×13C1×13C1×13C152C4

=13×13×13×1352×51×50×494×3×2×1=219720825


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