SOLUTION: If three cards are randomly drawn from a standard deck how many ways are there to have A.)at least one black? b.) All the same color?

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Question 804811: If three cards are randomly drawn from a standard deck how many ways are there to have
A.)at least one black?
b.) All the same color?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If three cards are randomly drawn from a standard deck how many ways are there to have
A.)at least one black?
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# of ways to succeed = total # of triples - # of triples with 3 red cards
= 52C3-26C3 = 19500
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# of random triples = 52C3 = 22100
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P(triple with at least one black) = 19500/22100 = 0.8824
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b.) All the same color?
# of ways to succeed:: 26C3 + 26C3 = 5200
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P(all same color) = 5200/52C3 = 0.2353
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Cheers,
Stan H.
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