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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?
Answer:

Total number of card = 52

Number of ways drawing 4 cards from 52 cards = 52C4

Number of diamonds card = 13

Number of spade card = 13

Number of ways drawing 3 diamond and 1 spade card = 13C3 * 13C1

Now probability of obtaining 3 diamonds and one spade = ( 13C3 * 13C1 )/ 52C4

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