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From a standard 52-card deck, find the probability of being dealt a 5-card hand consisting entirely...

From a standard 52-card deck, find the probability of being dealt a 5-card hand consisting entirely of diamonds?
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Answer #1

Total number of card in standard deck=52

Total number of card in diamond suit=13

Since, 5 card are to be choosen

Therefore, number of ways in which 5 card can be choosen from 52 card==2598960

And, number of ways in which 5 card can be choosen from diamond suit==1287

Therefore, probability of being dealt a 5-card hand consisting entirely of diamond= =(1287)/(2598960)=0.000495198079=.0005(approximately)

Answer=0.000495198079 Or .0005( approximately)

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