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Three of a Kind (Posted on 2003-11-19) Difficulty: 4 of 5
You have a standard pack of 52 playing cards. You then shuffle them and begin to draw out cards until you have three of a kind. What is the most likely number of cards drawn when this happens?

You then shuffle another pack of 52 playing cards into the pile. What happens to the expected number of cards now? (i.e. does it double / halve / stay the same?)

No Solution Yet Submitted by Lewis    
Rating: 4.3333 (9 votes)

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No Subject | Comment 13 of 39 |
Dan,
How can you claim "Three of a kind" is exclusively a poker term?
Man1: I've got a luverrly matching set of two coconuts
Man2: You mean a pair?
Man1: Pardon?
Man2: You'll have to excuse me, it's poker jargon.

Internet search? Pop 'three of a kind' into g00gle and wake me up when you find the poker sites.

This gets me;
"....Therefore the puzzle can be clarified as follows: "...You then shuffle them and begin to draw out cards until you have three that match and two that do not match, as for example 3 jacks, an ace and a queen. What is the most likely number of cards drawn when this happens?"

Let's see. I draw 5 card hands until I get 3 that match and 2 that don't.
The most likely number of cards drawn when this happens?"
Is it.......no, it can't be....is it 5?

Your argument's about 3 times bigger than its diameter.
I hope I see a neat computer-free answer but since a calculator (does this count as a computer?) comes in handy just working out 1 case, I feel a computer is required.
Can anyone figure out the distribution???????
I could go to jail and never justify the time to do this by hand
  Posted by Lee on 2003-11-20 12:20:34
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