SOLUTION: You select three cards from a deck of 52 Cards. What is the probability the cards are (in order) a Five, a Five, and a King?

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Question 334648: You select three cards from a deck of 52 Cards. What is the probability the cards are (in order) a Five, a Five, and a King?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
You select three cards from a deck of 52 Cards. What is the probability the cards are (in order) a Five, a Five, and a King?
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P(5,5,K)= (4/52)(3/51)(4/50) = 0.000362
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Cheers,
Stan H.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Assuming it's without replacement (you don't put them back)
The 1st 5 is 4/52 = 1/13
The 2nd 5 is 3/51 = 1/17
The king is 4/50 = 2/25
1/13 * 1/17 * 2/25 = 2/5525
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But, since the king could be drawn 1st, 2nd or 3rd, and same for the 5's, the chances are 6 times that (6 = 3*2*1).
--> 12/5525

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