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Question

4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining 3 diamonds and one spade?

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Solution

Number of ways of drawing 4 cards from 52 cards = 52C4
In a deck of 52 cards there are 13 diamonds and 13 spades.
Number of ways of drawing 3 diamonds and one spade = 13C3×13C1
Thus the probability of obtaining 3 diamonds and one spade = 13C3×13C152C4

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