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fiveyes · 07-03-2003, 04:43 PM

Got an e-mail that shows a bit of lack of understanding on what "odds" are, so one last time in...

See http://www.saintjoe.edu/~karend/m111/m111c7.html for the difference between "probability" (P(A)), and "odds" (P(A)/P(not A)). Also check on the definition of "sample space".

Breakdown of the <B>complete</B> sample space, using UPPER CASE to show a seven game match:

a-B-C-D = 30/52*22/52*22/52*22/52 | These
A-b-C-D = 22/52*30/52*22/52*22/52 | meet
A-B-c-D = 22/52*22/52*30/52*22/52 | the
A-B-C-d = 22/52*22/52*22/52*30/52 | criteria.
__________________________________________
a-b-c-d | No 7 game matches. (30/52*30/52*30/52*30/52) +

A-b-c-d | Just
a-B-c-d | one match
a-b-C-d | of 7
a-b-c-D | games. (30/52*30/52*30/52*22/52*4) +

a-b-C-D | Two
a-B-c-D | matches
A-b-c-D | of
a-B-C-d | 7
A-b-C-d | games
A-B-c-d | each. (30/52*30/52*22/52*22/52*6) +

A-B-C-D | All 7 game matches. (22/52*22/52*22/52*22/52)

~~~~~~~

So, the odds are app. 3/20, 3:20, 3 to 20 or, as a percentage, 15%.

07-03-2003, 04:43 PM
fiveyes Confirmed User Join Date: Aug 2001 Location: New Orleans Posts: 1,680	Got an e-mail that shows a bit of lack of understanding on what "odds" are, so one last time in... See http://www.saintjoe.edu/~karend/m111/m111c7.html for the difference between "probability" (P(A)), and "odds" (P(A)/P(not A)). Also check on the definition of "sample space". Breakdown of the <B>complete</B> sample space, using UPPER CASE to show a seven game match: a-B-C-D = 30/5222/5222/5222/52 \| These A-b-C-D = 22/5230/5222/5222/52 \| meet A-B-c-D = 22/5222/5230/5222/52 \| the A-B-C-d = 22/5222/5222/5230/52 \| criteria. __________________________________________ a-b-c-d \| No 7 game matches. (30/5230/5230/5230/52) + A-b-c-d \| Just a-B-c-d \| one match a-b-C-d \| of 7 a-b-c-D \| games. (30/5230/5230/5222/524) + a-b-C-D \| Two a-B-c-D \| matches A-b-c-D \| of a-B-C-d \| 7 A-b-C-d \| games A-B-c-d \| each. (30/5230/5222/5222/526) + A-B-C-D \| All 7 game matches. (22/5222/5222/5222/52) ~~~~~~~ So, the odds are app. 3/20, 3:20, 3 to 20 or, as a percentage, 15%. __________________ <CENTER><A HREF="http://www.hot-off-bourbon.com/" target="_blank"><IMG SRC="http://www.hot-off-bourbon.com/images/hob-logosmall.jpg" border="0"></A> <FONT face="Comic Sans MS" SIZE="-1"><I>Mardi Gras, Spring Break, Wet-T, Night Club Action, UpSkirt, Oil Wrestling, Voyeur</I></FONT></CENTER> Last edited by fiveyes; 07-03-2003 at 04:45 PM..