SOLUTION: Five cards are drawn from a standard 52 card declk. What is the probibility that the first 2 cards are red? I put the formula as 26! / (26!-2!)*2! But I'm not sure its right.

Algebra ->  Probability-and-statistics -> SOLUTION: Five cards are drawn from a standard 52 card declk. What is the probibility that the first 2 cards are red? I put the formula as 26! / (26!-2!)*2! But I'm not sure its right.       Log On


   

Question 452878: Five cards are drawn from a standard 52 card declk. What is the probibility that the first 2 cards are red?
I put the formula as 26! / (26!-2!)*2!
But I'm not sure its right.
Please help, thanks.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Five cards are drawn from a standard 52 card declk. What is the probibility that the first 2 cards are red?
I put the formula as 26! / (26!-2!)*2!
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# of ways to get 2 red: 26C2
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# of ways to get 3 black: 26C3
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# of 5 card hands: 52C5
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P(2 red then 3 black) = 26C2*26C3/52C5 = 845,000/2598960 = 0.3251
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Cheers,
Stan H.
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