<?xml version="1.0"?>
<rss xmlns:media="http://search.yahoo.com/mrss/" version="2.0">
							<channel><title>New Posts For Thread: maths question</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question</link><description>During the football season Dave works out that...Man Utd have a 62% chance of finishing ahead of Man CityMan Utd have a 74% chance of finishing ahead of ArsenalMan City have a 61% chance of finishing ahead of ArsenalAssuming none of the teams are pla</description><item><title>There's something not quite right there.</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518515663#518515663</link><description>There's something not quite right there.</description><pubDate>Wed, 11 Apr 2012 20:45:32 -0500</pubDate></item><item><title>FIRST    LASTMan U    57.34%    12.42%Man C    29.53%    30.39%Arsenal    13.14%    57.19%</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518515381#518515381</link><description>FIRST    LASTMan U    57.34%    12.42%Man C    29.53%    30.39%Arsenal    13.14%    57.19%</description><pubDate>Wed, 11 Apr 2012 20:35:03 -0500</pubDate></item><item><title>(as an aside these actually imply Man City have a 63.2% chance of finishing ahead of Arsenal, not 61% as you defined).That would figure as the 62% was actually meant to be 60%.  I just remembered it incorrectly when I typed the original question.</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518510825#518510825</link><description>(as an aside these actually imply Man City have a 63.2% chance of finishing ahead of Arsenal, not 61% as you defined).That would figure as the 62% was actually meant to be 60%.  I just remembered it incorrectly when I typed the original question.</description><pubDate>Wed, 11 Apr 2012 17:51:23 -0500</pubDate></item><item><title>Last column should say arsenal (not Man City)</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518509051#518509051</link><description>Last column should say arsenal (not Man City)</description><pubDate>Wed, 11 Apr 2012 16:56:31 -0500</pubDate></item><item><title>I've backed out an answer (estimate):I assumed all teams have the same variance of normally distributed league points and backed out a mean (average) from just usingMan Utd have a 62% chance of finishing ahead of Man CityMan Utd have a 74% chance of</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518508905#518508905</link><description>I've backed out an answer (estimate):I assumed all teams have the same variance of normally distributed league points and backed out a mean (average) from just usingMan Utd have a 62% chance of finishing ahead of Man CityMan Utd have a 74% chance of</description><pubDate>Wed, 11 Apr 2012 16:52:39 -0500</pubDate></item><item><title>" the probality of mancity being above utd donot depend on arsenal or utd being above other."I think they do.If I know nothing then P(ManUtd&gt;ManCity) = 62%If I know Arsenal &lt; ManUtd then P(ManUtd&gt;ManCity) &gt; 62%If I know Arsenal &gt; ManUtd then P(ManUtd</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518508229#518508229</link><description>" the probality of mancity being above utd donot depend on arsenal or utd being above other."I think they do.If I know nothing then P(ManUtd&gt;ManCity) = 62%If I know Arsenal &lt; ManUtd then P(ManUtd&gt;ManCity) &gt; 62%If I know Arsenal &gt; ManUtd then P(ManUtd</description><pubDate>Wed, 11 Apr 2012 16:37:55 -0500</pubDate></item><item><title>if we define the event as one team being above the other team in the ranking of 3 teams, the probality of one event as clarrified by clydebank before 3 posts doesnt depend on the occcurance of another.that is, for example, the probality of mancity be</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518497679#518497679</link><description>if we define the event as one team being above the other team in the ranking of 3 teams, the probality of one event as clarrified by clydebank before 3 posts doesnt depend on the occcurance of another.that is, for example, the probality of mancity be</description><pubDate>Wed, 11 Apr 2012 12:28:16 -0500</pubDate></item><item><title>I instinctively feel there is a method to estimate it with a very high degree of accuracy.  My guesstimate given those figures would be that the chances of each team finishing 3rd would be around 53% 34% and 13%</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518497583#518497583</link><description>I instinctively feel there is a method to estimate it with a very high degree of accuracy.  My guesstimate given those figures would be that the chances of each team finishing 3rd would be around 53% 34% and 13%</description><pubDate>Wed, 11 Apr 2012 12:26:27 -0500</pubDate></item><item><title>But Henok, you did:just for city being first: P(city above utd)* P(city above arsenal)=(1-0.62)*(0.61)But when these things are not independent (as here):P(city above arsenal | city above utd)  0.61and when they are not independent we can't multiply</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518495751#518495751</link><description>But Henok, you did:just for city being first: P(city above utd)* P(city above arsenal)=(1-0.62)*(0.61)But when these things are not independent (as here):P(city above arsenal | city above utd)  0.61and when they are not independent we can't multiply</description><pubDate>Wed, 11 Apr 2012 11:46:41 -0500</pubDate></item><item><title>in this case i would expect a team to have a liklihhod of 1st,2nd and 3rd  as 0.25, 0.5, 0.25</title><link>https://community.betfair.com/general_betting/go/thread/view/94082/29054147/maths-question?post_id=518492273#518492273</link><description>in this case i would expect a team to have a liklihhod of 1st,2nd and 3rd  as 0.25, 0.5, 0.25</description><pubDate>Wed, 11 Apr 2012 10:23:15 -0500</pubDate></item></channel></rss>
