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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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probability `= (.^13C_3 .^13C_1)/(.^52C_4`

`= ((13*12*6)/6*13)/((52*51*50*49)/24)`

`= (13*12*11)/(51*50*49)`

`= 286/(17*25*49)`

`= 286/20825`

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