New Posts For Thread: Any mathematicians or probabilists out there?https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-thereI am trying to get a definitive answer to this problem,can you help,please?The player has two dice and throws to score a 6 and an 8,(that is the combined score) ,before he throws two 7's.Obviously he loses should the two 7's appear first.Epstein giveThanks dunlaying, now the penny has dropped. My ignorance of the rules was the problem. Regards, The Lanterne Rouge.https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512203165#512203165Thanks dunlaying, now the penny has dropped. My ignorance of the rules was the problem. Regards, The Lanterne Rouge.Sat, 05 Nov 2011 21:02:56 -0500The lantern RougeWhen a 6 or an 8 is thrown it would count as ,shall we say,a non runner.Now ,remembering that there is only one shooter,the play is,to win for shooter,6886768786678876all other numbers invalid.So ,since 6 with 2 dice is 5/36https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512148735#512148735The lantern RougeWhen a 6 or an 8 is thrown it would count as ,shall we say,a non runner.Now ,remembering that there is only one shooter,the play is,to win for shooter,6886768786678876all other numbers invalid.So ,since 6 with 2 dice is 5/36Fri, 04 Nov 2011 18:39:39 -0500Thanks for your reply dunlaying. I don't know the rules of the game and thought I answered the original question OK. The "no longer valid" part has me puzzled.Regards, The Lanterne Rouge.https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512142771#512142771Thanks for your reply dunlaying. I don't know the rules of the game and thought I answered the original question OK. The "no longer valid" part has me puzzled.Regards, The Lanterne Rouge.Fri, 04 Nov 2011 16:14:44 -0500The lanterne rougeRemember that the numbers other than 6,8 or 7 have no possible bearing on the result.There can be no draw,the shooter or the bank wins,plain and simple.Then work it from 1-P(bank wins) or P(shooter wins)The tricky bit is that when ahttps://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512115107#512115107The lanterne rougeRemember that the numbers other than 6,8 or 7 have no possible bearing on the result.There can be no draw,the shooter or the bank wins,plain and simple.Then work it from 1-P(bank wins) or P(shooter wins)The tricky bit is that when aFri, 04 Nov 2011 04:37:28 -0500Maybe it's Alzheimers but I just don't understand this at all.There are 5 ways of throwing a total of 6 with 2 dice, 5 1, 4 2, 3 3, 2 4, 1 5.6 ways of total 7, 6 1, 5 2, 4 3, 3 4, 2 5, 1 6.5 ways of total 8, 6 2, 5 3, 4 4, 3 5, 2 6.A 6/11 chance of thttps://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512111241#512111241Maybe it's Alzheimers but I just don't understand this at all.There are 5 ways of throwing a total of 6 with 2 dice, 5 1, 4 2, 3 3, 2 4, 1 5.6 ways of total 7, 6 1, 5 2, 4 3, 3 4, 2 5, 1 6.5 ways of total 8, 6 2, 5 3, 4 4, 3 5, 2 6.A 6/11 chance of tThu, 03 Nov 2011 23:13:29 -0500agree with mr a et albongo, your method doesn't explicitly seem to deal with {6,6,8} and the like - i take it you know how to get around that bit?https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512104157#512104157agree with mr a et albongo, your method doesn't explicitly seem to deal with {6,6,8} and the like - i take it you know how to get around that bit?Thu, 03 Nov 2011 19:39:17 -0500Scores in the range 1-5, 9-12 don't affect the game so, the game can be won in 6 ways:6,88,66,7,88,7,67,6,87,8,6Probability of a 7 is 6/16thsProbability of a 6 or an 8 are 5/16thsTotal of the above probabilities is .54558I think Mr Anderson explainedhttps://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512099105#512099105Scores in the range 1-5, 9-12 don't affect the game so, the game can be won in 6 ways:6,88,66,7,88,7,67,6,87,8,6Probability of a 7 is 6/16thsProbability of a 6 or an 8 are 5/16thsTotal of the above probabilities is .54558I think Mr Anderson explainedThu, 03 Nov 2011 17:50:46 -0500Surely the answer is an infinite series with ever decreasing values the further it goes on. Because theres always the probability that each roll of the dice doesn't make a 6,7 or 8. I think thats where all the complicated maths comes into it?https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512076551#512076551Surely the answer is an infinite series with ever decreasing values the further it goes on. Because theres always the probability that each roll of the dice doesn't make a 6,7 or 8. I think thats where all the complicated maths comes into it?Thu, 03 Nov 2011 09:38:46 -05000.5455 rounds to 0.5460.546 rounds to 0.55https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512070777#5120707770.5455 rounds to 0.5460.546 rounds to 0.55Thu, 03 Nov 2011 07:14:37 -0500Sounds like Eldrick. Although he would get it right.https://community.betfair.com/general_betting/go/thread/view/94082/28627449/any-mathematicians-or-probabilists-out-there?post_id=512053185#512053185Sounds like Eldrick. Although he would get it right.Wed, 02 Nov 2011 17:56:21 -0500