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Topic: [ap-stat] 7 cards - no pairs
Replies: 2   Last Post: Feb 16, 2007 8:01 AM

 Messages: [ Previous | Next ]
 Holly Thompson Posts: 38 Registered: 4/11/05
RE: [ap-stat] 7 cards - no pairs
Posted: Feb 16, 2007 8:01 AM

thanks Paul -
I had the correct answer but as a person who does not play poker - was not
thinking of the removal of the other hands ... straights and flushes !!
THANKS ! - that solves the mystery

________________________________

From: Paul Rodriguez [mailto:troyrodmath@hotmail.com]
Sent: Thu 2/15/2007 10:19 PM
To: AP Statistics
Subject: RE: [ap-stat] 7 cards - no pairs

13 C 7 * 4 C 1 * 4 C 1 * 4 C 1 * 4 C 1 * 4 C 1 * 4 C 1 * 4 C 1 minus the
straights and flushes

You have 13 types of cards, and need them all to be different, so 13 choose
7. Now each of those 7 cards you picked has 4 different types (Heart, Club,
Diamond, Spade), so it is (4 C 1) ^ 7. Now we have to subtract the amount
of straights and flushes there are (not as easy to explain!)

Here is a link, though, to the actually computed probabilities
http://www.math.sfu.ca/~alspach/comp20/

Hope that helps.

Paul Rodriguez
Troy High School
Fullerton, Ca

>From: "Holly Thompson" <thompsonholly@rockwood.k12.mo.us>
>To: "AP Statistics" <ap-stat@lyris.collegeboard.com>
>Subject: [ap-stat] 7 cards - no pairs
>Date: Thu, 15 Feb 2007 17:04:02 -0600
>
>
>
>I keep getting the "wrong" # of combos ....
>
>how many possible hands are there if you are dealt 7 cards and you have no
>pairs .... more importantly - how do you calculate it - bc I need to figure
>out why my method is not working ......
>
>thanks in advance - it is drving me crazy
>
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Course related websites:
FAQ: http://www.mrderksen.com/faq.htm
AP Central: http://apcentral.collegeboard.com/stats
Archives: http://mathforum.org/kb/forum.jspa?forumID=67
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To UNSUBSCRIBE click the unsubscribe button on your Forums page:

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Course related websites:
FAQ: http://www.mrderksen.com/faq.htm
AP Central: http://apcentral.collegeboard.com/stats
Archives: http://mathforum.org/kb/forum.jspa?forumID=67
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ap-stat is an Electronic Discussion Group (EDG) of The College Board