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RE: [ap-stat] 7 cards - no pairs
Posted:
Feb 15, 2007 11:19 PM
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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> >Reply-To: "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 > >==== >Course related websites: >FAQ: http://www.mrderksen.com/faq.htm > PLEASE CHECK THIS GREAT SITE FOR FREQUENTLY ASKED QUESTIONS >AP Central: http://apcentral.collegeboard.com/stats >Archives: http://mathforum.org/kb/forum.jspa?forumID=67 >--- >ap-stat is an Electronic Discussion Group (EDG) of The College Board >TO CHANGE YOUR EMAIL ADDRESS, PASSWORD OR SETTINGS, go to >http://lyris.collegeboard.com/read/my_account/edit >To UNSUBSCRIBE click the unsubscribe button on your Forums page: >http://lyris.collegeboard.com/read/my_forums/
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==== Course related websites: FAQ: http://www.mrderksen.com/faq.htm PLEASE CHECK THIS GREAT SITE FOR FREQUENTLY ASKED QUESTIONS AP Central: http://apcentral.collegeboard.com/stats Archives: http://mathforum.org/kb/forum.jspa?forumID=67 --- ap-stat is an Electronic Discussion Group (EDG) of The College Board TO CHANGE YOUR EMAIL ADDRESS, PASSWORD OR SETTINGS, go to http://lyris.collegeboard.com/read/my_account/edit To UNSUBSCRIBE click the unsubscribe button on your Forums page: http://lyris.collegeboard.com/read/my_forums/
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