SOLUTION: assume you are playing 5 card draw poker.... what is the probability of getting all 5 cards the same color

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Question 247550: assume you are playing 5 card draw poker.... what is the probability of getting all 5 cards the same color
Found 2 solutions by Edwin McCravy, stanbon:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
There are 26 red cards and 52 cards.

"26 choose 5" over "52 choose 5"

%2826C5%29%2F%2852C5%29+=+65780%2F2598960=253%2F9996

That's the probability of getting 5 red cards.

The same for getting 5 black cards, so

253%2F9996+%2B+253%2F9996+=+506%2F9996+=+253%2F4998

Edwin

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
assume you are playing 5 card draw poker.... what is the probability of getting all 5 cards the same color
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# of ways to pick a color: 2
# of ways to pick 5 cards of that color: 26C5
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# of ways of picking 5 cards from the deck of 52: 52C5
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P(5 cards same color) = [2*26C5]/52C5 = 131560/2598960 = 0.0506
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Cheers,
Stan H.