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 Three of a Kind (Posted on 2003-11-19)
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)

 Subject Author Date Solution??? Wendy 2004-02-17 18:43:44 When is there gonna be a solution? snapp 2003-12-31 16:01:50 This might be a solution puzzlesrfun 2003-12-09 21:14:21 Solution Described for One Case Charlie 2003-11-23 22:25:55 Notes on the solution Charlie 2003-11-21 16:04:16 Analytic Solution:Computer aided for computations Charlie 2003-11-21 15:58:44 Comments on poker hand solutions Lorne Hrynkiw 2003-11-21 05:40:13 re(3): A non-poker solution (computer program not used) Charlie 2003-11-20 22:48:04 re(2): A non-poker solution (computer program not used) Charlie 2003-11-20 22:43:55 re: A non-poker solution (computer program not used) Charlie 2003-11-20 22:36:38 One flaw in your reasoning... SilverKnight 2003-11-20 21:57:52 When you're right, you're right, SilverKnight... Dan 2003-11-20 20:41:35 thoughts Tristan 2003-11-20 20:01:35 re: Additional clarifications for SilverKnight SilverKnight 2003-11-20 18:21:34 A non-poker solution (computer program not used) Dan 2003-11-20 18:03:41 Additional clarifications for SilverKnight Dan 2003-11-20 16:58:08 re: Some responses for SilverKnight,,,, SilverKnight 2003-11-20 15:50:13 Some responses for SilverKnight,,,, Dan 2003-11-20 15:37:26 re: Just a thought.. SilverKnight 2003-11-20 15:34:57 Just a thought.. Chris 2003-11-20 15:30:51 Dan - yet another problem with your analysis SilverKnight 2003-11-20 14:30:39 re(2): Lee 2003-11-20 13:42:26 re(2): SilverKnight 2003-11-20 12:54:35 re: Dan 2003-11-20 12:42:53 re(3): I think I've got it. (No computer program used). SilverKnight 2003-11-20 12:40:27 My house is full of pears! Lee 2003-11-20 12:24:58 No Subject Lee 2003-11-20 12:20:34 re(2): I think I've got it. (No computer program used). Dan 2003-11-20 12:10:43 re: I think I've got it. (No computer program used). SilverKnight 2003-11-20 11:14:21 re: THREE OF A KIND !!!!!!! Cory Taylor 2003-11-20 10:02:29 THREE OF A KIND !!!!!!! Dan 2003-11-20 05:56:47 I think I've got it. (No computer program used). Dan 2003-11-20 03:33:26 challenge Victor Zapana 2003-11-19 20:02:08 2-deck simulation Charlie 2003-11-19 17:34:52 Adding Median and Mean to simulation Charlie 2003-11-19 17:21:29 re(2): simulation SilverKnight 2003-11-19 17:00:34 re: simulation SilverKnight 2003-11-19 16:45:30 simulation Charlie 2003-11-19 16:25:47 interesting problem... SilverKnight 2003-11-19 15:51:52

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