{"id":1211,"date":"2012-08-19T20:30:53","date_gmt":"2012-08-19T20:30:53","guid":{"rendered":"https:\/\/forumarchives.tmsites.net\/index.php\/2012\/08\/19\/pass-line-math\/"},"modified":"2012-08-19T20:30:53","modified_gmt":"2012-08-19T20:30:53","slug":"pass-line-math","status":"publish","type":"post","link":"https:\/\/forumarchives.tmsites.net\/index.php\/2012\/08\/19\/pass-line-math\/","title":{"rendered":"Pass Line Math"},"content":{"rendered":"

<\/p>\n\n\n
((8\/36)-(4\/36))+(1\/36*3\/9)*3+(1\/36*4\/10)*4+(1\/36*5\/11)*5+(1\/36*5\/11)*5+(1\/36*4\/10)*4+(1\/36*3\/9)*3-(1\/36*6\/9)*3-(1\/36*6\/10)*4-(1\/36*6\/11)*5-(1\/36*6\/11)*5-(1\/36*6\/10)*4-(1\/36*6\/9)*3=-0.014141414141414<\/span><\/span>[\/tds]<\/tr>\n

[\/tables][clear][\/clear]<\/p>\n

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Replies:<\/h3>\n
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Posted by:<\/strong> Guest on August 19, 2012, 8:34 pm<\/p>\n

Your job as a dice controller is to change that negative -0.014141414141414<\/strong><\/span> to a positive number.
\n\t
\n\tAre you up to the challenge?<\/strong><\/div>\n<\/div>\n
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Posted by:<\/strong> Guest on August 19, 2012, 9:20 pm<\/p>\n

GTC uses a different method to solve the Pass Line Math<\/strong><\/p>\n

\t\"\"<\/p>\n

\thttp:\/\/www.goldentouchcraps.com\/passline.shtml<\/a><\/div>\n<\/div>\n

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Posted by:<\/strong> Guest on August 19, 2012, 9:38 pm<\/p>\n

If you use my formula, you will find that everything that has a +(plus) in front of it equals a win.<\/p>\n

\tIf you use my formula, you will find that everything that has a -(minus) in front of it equals a loss.<\/p>\n

\t[list=disc]The Comeout Roll:<\/strong><\/p>\n

\t[*]((8\/36)-(4\/36)) is the Comeout roll:[\/*]
\n\t[*](8\/36) are the 6 sevens and the 2 elevens natural winners(or 22.22%)[\/*]
\n\t[*](4\/36) are 2, 3, 12(craps) losers(or 11.11%)[\/*]
\n\t[*](8\/36)-(4\/36)=11.11% potential win on the Comeout roll[\/*][\/list]<\/div>\n<\/div>\n

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Posted by:<\/strong> Guest on August 19, 2012, 9:46 pm<\/p>\n

If you use my formula, you will find that everything that has a +(plus) in front of it equals a win.<\/p>\n

\t[list=square] The Point Roll wins:<\/strong><\/p>\n

\t[*]+(1\/36*3\/9)*3 is the win on the Point of 4(or 0.0278)=2.78%[\/*]
\n\t[*]+(1\/36*4\/10)*4 is the win on the Point of 5(or 0.0444)=4.44%[\/*]
\n\t[*]+(1\/36*5\/11)*5 is the win on the Point of 6(or 0.0631)=6.31%[\/*]
\n\t[*]+(1\/36*5\/11)*5 is the win on the Point of 8(or 0.0631)=6.31%[\/*]
\n\t[*]+(1\/36*4\/10)*4 is the win on the Point of 9(or 0.0444)=4.44%[\/*]
\n\t[*]+(1\/36*3\/9)*3 is the win on the Point of 10(or 0.0278)=2.78%[\/*]
\n\t[*]Total of possible Point wins = 27.07%[\/*][\/list]<\/div>\n<\/div>\n

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Posted by:<\/strong> Guest on August 19, 2012, 10:22 pm<\/p>\n

If you use my formula, you will find that everything that has a -(minus) in front of it equals a loss.<\/p>\n

\t [list=circle] The Point Roll losses:<\/strong><\/p>\n

\t[*]-(1\/36*6\/9)*3 is the loss on the Point of 4(-0.0556)=-5.56%[\/*]
\n\t[*]-(1\/36*6\/10)*4 is the loss on the Point of 5(-0.0667)=-6.67%[\/*]
\n\t[*]-(1\/36*6\/11)*5 is the loss on the Point of 6(-0.0758)=-7.58%[\/*]
\n\t[*]-(1\/36*6\/11)*5 is the loss on the Point of 8(-0.0758)=-7.58%[\/*]
\n\t[*]-(1\/36*6\/10)*4 is the loss on the Point of 9(-0.0667)=-6.67%[\/*]
\n\t[*]-(1\/36*6\/9)*3 is the loss on the Point of 10(-0.0556)=-5.56%[\/*]
\n\t[*]The Total of potential losses on the Point Roll = (-0.3959)=-39.60%[\/*][\/list]<\/div>\n<\/div>\n

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Posted by:<\/strong> Guest on August 19, 2012, 11:00 pm<\/p>\n

Breaking down the formula into its parts:<\/u><\/p>\n

\tNatural winners = 22.22%
\n\tCraps losers =-11.11%<\/span>
\n\tTotal of potential Point wins = 27.07%
\n\tTotal of potential Point losses =-39.60%<\/span><\/p>\n

\tTotal = -1.41%<\/strong><\/span><\/div>\n<\/div>\n

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Posted by:<\/strong> Set44 on August 20, 2012, 3:21 am<\/p>\n

CIII,
\n\t Thank you for the exacting and positive math explaining the results of our dice throws. However, I simply believe the GTC members like yourself and Frank and Dom’s books. Therefore, I follow GTC’s collect advise and avoid the ploppy gambler bets. Instead I have to concentrate on my release and avoiding big reds. Thanks, again your graphs and outstanding explanations. Set44 \ud83d\ude00 \ud83d\ude00 \ud83d\ude00 \ud83d\ude00<\/div>\n<\/div>\n
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Posted by:<\/strong> Guest on August 20, 2012, 9:12 am<\/p>\n

\n

Set44 said, Therefore, I follow GTC’s collect advise and avoid the ploppy gambler bets. Instead I have to concentrate on my release and avoiding big reds.<\/p><\/blockquote>\n

\n\tI realize that the Math of Craps is rather dull reading and understand that readers would rather see posts that tell them how to avoid the seven<\/span> and consistently hit their box numbers.<\/p>\n

\tI have a method to not only avoid the seven , but to never toss the seven<\/u>. I will have to put it into pictures and post it in the near future.<\/p>\n

\tThanks you for your reply.<\/p><\/div>\n<\/div>\n

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Posted by:<\/strong> Guest on August 20, 2012, 7:59 pm<\/p>\n

It is interesting to note that various authors use different methods to arrive at the Math of Craps:<\/p>\n

\thttp:\/\/wizardofodds.com\/games\/craps\/appendix\/1\/<\/a><\/p>\n

Pass\/Come<\/strong><\/p>\n

\tThe probability of winning on the come out roll is pr(7)+pr(11) = 6\/36 + 2\/36 = 8\/36.<\/p>\n

\tThe probability of establishing a point and then winning is pr(4)\u00d7pr(4 before 7) + pr(5)\u00d7pr(5 before 7) + pr(6)\u00d7pr(6 before 7) + pr(8)\u00d7pr(8 before 7) + pr(9)\u00d7pr(9 before 7) + pr(10)\u00d7pr(10 before 7) =<\/p>\n

\t(3\/36)\u00d7(3\/9) + (4\/36)\u00d7(4\/10) + (5\/36)\u00d7(5\/11) + (5\/36)\u00d7(5\/11) + (4\/36)\u00d7(4\/10) + (3\/36)\u00d7(3\/9) =
\n\t(2\/36) \u00d7 (9\/9 + 16\/10 + 25\/11) =
\n\t(2\/36) \u00d7 (990\/990 + 1584\/990 + 2250\/990) =
\n\t(2\/36) \u00d7 (4824\/990) = 9648\/35640
\n\tThe overall probability of winning is 8\/36 + 9648\/35640 = 17568\/35640 = 244\/495
\n\tThe probability of losing is obviously 1-(244\/495) = 251\/495
\n\tThe player’s edge is thus (244\/495)\u00d7(+1) + (251\/495)\u00d7(-1) = -7\/495 \u2248 -1.414%.<\/p><\/blockquote>\n<\/div>\n<\/div>\n

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Posted by:<\/strong> Guest on August 22, 2012, 7:02 pm<\/p>\n

\"\"<\/div>\n<\/div>\n
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Posted by:<\/strong> Guest on August 23, 2012, 5:00 pm<\/p>\n

Right click on the chart and click on View Image<\/u> to see the entire chart:<\/p>\n

\t\"\"<\/div>\n<\/div>\n

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Posted by:<\/strong> Guest on September 1, 2012, 1:07 pm<\/p>\n

Right click on image and choose View Image<\/u> to see full picture<\/span><\/strong><\/p>\n

\t\"\"<\/div>\n<\/div>\n

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Posted by:<\/strong> Finisher on June 7, 2013, 5:32 am<\/p>\n

Eagle Eye I hope Dom does not mind but I thought this may interest you.
\n\tGood Rolling. \ud83d\ude00 \ud83d\ude00<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

((8\/36)-(4\/36))+(1\/36*3\/9)*3+(1\/36*4\/10)*4+(1\/36*5\/11)*5+(1\/36*5\/11)*5+(1\/36*4\/10)*4+(1\/36*3\/9)*3-(1\/36*6\/9)*3-(1\/36*6\/10)*4-(1\/36*6\/11)*5-(1\/36*6\/11)*5-(1\/36*6\/10)*4-(1\/36*6\/9)*3=-0.014141414141414[\/tds] [\/tables][clear][\/clear] Replies: Posted by: Guest on August 19, 2012, 8:34 pm Your job as a dice controller is to change that negative -0.014141414141414 to a positive number. Are you up to the challenge? Posted by: Guest on August 19,…<\/p>\n","protected":false},"author":68,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-1211","post","type-post","status-publish","format-standard","hentry","category-craps"],"_links":{"self":[{"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/posts\/1211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/users\/68"}],"replies":[{"embeddable":true,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/comments?post=1211"}],"version-history":[{"count":0,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/posts\/1211\/revisions"}],"wp:attachment":[{"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/media?parent=1211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/categories?post=1211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/tags?post=1211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}