{"id":9736,"date":"2018-01-21T01:09:43","date_gmt":"2018-01-21T01:09:43","guid":{"rendered":"https:\/\/forumarchives.tmsites.net\/index.php\/2018\/01\/21\/math-behind-the-five-count\/"},"modified":"2018-01-21T01:09:43","modified_gmt":"2018-01-21T01:09:43","slug":"math-behind-the-five-count","status":"publish","type":"post","link":"https:\/\/forumarchives.tmsites.net\/index.php\/2018\/01\/21\/math-behind-the-five-count\/","title":{"rendered":"math behind the five count"},"content":{"rendered":"<p><!-- Original Post Content --><br \/>\nthis is a question for Skinny:<\/p>\n<p>\tbased on the following facts:   1. odds of a seven 1 in 6    2. each roll of he dice is an independent trial &#8211; the past or future has no affect<\/p>\n<p>\tso how can five count be proven mathematically?  fact number 2 negates the five count <\/p>\n<p>\tplease elaborate<\/p>\n<hr>\n<h3>Replies:<\/h3>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> Set44 on January 21, 2018, 4:23 am<\/p>\n<div>The math has been posted several times long ago.  You are better off believing and practicing the 5 Count.  Spend your practice times improving your Advantage play.   \ud83d\ude00  \ud83d\ude00<\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> Skinny on January 21, 2018, 5:56 am<\/p>\n<div>Dice Shark,<\/p>\n<p>\tYou asked a good question.  I will explain the answer in two ways.  First I will give you another example that has the same criteria you list and show how a similar premise can be proven mathematically despite having the two facts that you listed.  Second I will give you a link to an article that shows how Dr. Catlin proved the 5-count mathematically.<\/p>\n<p>\tIn my first example I will discuss tossing a fair coin with heads on one side and tails on the other.  I think you will agree that the odds of throwing a head is 1 in 2.  Thus a coin toss satisfies both of your facts.<\/p>\n<p>\t1. odds of a head is 1 in 2.  Each toss of the coin is an independent trial &#8211; the past or future has no effect.<\/p>\n<p>\tNow if I toss the coin twice in a row I can expect one of the four following results:  HH, TH, HT, TT<\/p>\n<p>\tIf I were to toss the coin twice in a row 1,000 times I can expect to see two heads (HH) approximately 250 times.<\/p>\n<p>\tAll I have done is used both facts to determine the probability of throwing 2 heads in a row.<\/p>\n<p>\tThe five count does the same thing for craps.  It determines the probability of a random roller sevening out before completing the five count.  The five count is using the probabilities of tossing 2 fair die by a random roller.  But because it is a bit more complicated than my simple coin toss example, Dr. Don Catlin set up a computer simulation to do the calculation.<\/p>\n<p>\tDr. Catlin did a computer simulation of 200 million random shooters placing 6 and 8 for $6 each. One player, called the &quot;Bet-All&quot; player, obviously bet on every shooter who rolled the dice. The 5-Counter only placed the 6 and 8 after the shooter made it through the 5-Count.  The 5-Count eliminated approximately 57 percent of the random shooters.  During the period of play the 5-count shooter lost about 57% less than the &quot;Bet All&quot; player.<\/p>\n<p>\tHere is the link to the entire article where you can read about the proof of the 5-count:  <a href=\"http:\/\/www.goldentouchcraps.com\/proof.shtml\">http:\/\/www.goldentouchcraps.com\/proof.shtml<\/a><\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> Dr Crapology on January 21, 2018, 12:26 pm<\/p>\n<div>Skinny, thank you for your continued contributions to the GTC message board.  We do miss you.<\/p>\n<p>\tRose and Doc<\/p><\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> Dominator on January 21, 2018, 2:08 pm<\/p>\n<div>Skinny as always a great job!<\/p>\n<p>\tJust to add:<\/p>\n<p>\tUsing the 5-count will not give you an edge over the game unless you throw in comp time value as Dr Catlin, (God rest his soul) points out. There isn&#8217;t a mathematical system that can beat the game of craps. <strong><span style=\"font-size: 16px\">BUT &#8211; and the is BIG BUT<\/span><\/strong> &#8211; what the 5-count does is eliminate shooters so your money is only at risk 47% of the time! And that is a huge thing! it gives us a way of not betting on everyone and if we get lucky and a random roller has a big roll we only missed out on 5 of their throws.<\/p>\n<p>\tThe only way to beat the game is this:<br \/>\n\t1. Learn the controlled throw<br \/>\n\t2. calculate your edge when you are throwing &#8211; and<br \/>\n\t3. ONLY BET INTO YOUR EDGE &#8211; (as NF5 just posted in his great article)<\/p>\n<p>\tDom<\/p><\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> SevenTimesSeven on January 21, 2018, 4:25 pm<\/p>\n<div>Dom,<br \/>\n\tYou posted <\/p>\n<p>\t&quot;&#8230;The only way to beat the game is this:<br \/>\n\t1. Learn the controlled throw<br \/>\n\t2. calculate your edge when you are throwing &#8211; and<br \/>\n\t3. ONLY BET INTO YOUR EDGE &#8211; (as NF5 just posted in his great article) &quot;<\/p>\n<p>\tDo you mean that we calculate our edge WHEN we are throwing at the casino&#8217;s table<br \/>\n\tand that edge is not our calculated edge done at home?<\/p>\n<p>\t7&#215;7<\/p><\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> DavidG on January 21, 2018, 4:46 pm<\/p>\n<div>I still not know why the 5 Count  has so many detractors. Just think how much money you lose on early 7 outs,I remember times when I hit my loss limits on the first 3 shooters having very short hands and not hitting a 6 or 8 . Also any great hand continues after the 5 Count,<\/p>\n<p>\tDaveG<\/p><\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> Skinny on January 21, 2018, 6:13 pm<\/p>\n<div>I have another article I once wrote on this topic I think you may find interesting. Upon rereading it I find it is a bit long. But I hope you feel it is worthwhile based on the information it gives. <\/p>\n<p>\t<a href=\"http:\/\/www.goldentouchcraps.com\/article.php?p=skinny0001.shtml\">http:\/\/www.goldentouchcraps.com\/article.php?p=skinny0001.shtml<\/a><\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> Dice Shark on January 21, 2018, 11:39 pm<\/p>\n<div>thanks for the explanation and links.<\/p>\n<p>\tnext queston: wth an SSR 0f 7.0 and using the hardway set what would be the probability of tossing a 6 on the first toss? What would the probability of repeating<br \/>\n\tthe 6?  standard random would be 13.88%<\/div>\n<\/div>\n<div class=\"migrated-reply\" style=\"border: 1px solid #eee;padding: 15px;margin-bottom: 15px;border-radius: 5px\">\n<p><strong>Posted by:<\/strong> Skinny on January 22, 2018, 12:28 am<\/p>\n<div>\n<blockquote><p><strong>&quot;Dice Shark&quot; wrote:<\/strong> thanks for the explanation and links.<\/p>\n<p>\tnext queston: wth an SSR 0f 7.0 and using the hardway set what would be the probability of tossing a 6 on the first toss? What would the probability of repeating<br \/>\n\tthe 6?  standard random would be 13.88%<\/p><\/blockquote>\n<p>\n\tThe probability of tossing a 6 on the first toss would be: 5.14\/36<\/p>\n<p>\tThe probability of tossing two sixes in a row would be: 26.42\/1296<\/p>\n<p>\tIf you establish the 6 as your point the probability of making your point would be 1\/2.<\/p>\n<p>\tWith an SRR of 7.0 your chance of throwing a 6 or 8 is the same as that of throwing a 7.<\/p><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>this is a question for Skinny: based on the following facts: 1. odds of a seven 1 in 6 2. each roll of he dice is an independent trial &#8211; the past or future has no affect so how can&#8230;<\/p>\n","protected":false},"author":65,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-9736","post","type-post","status-publish","format-standard","hentry","category-craps"],"_links":{"self":[{"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/posts\/9736","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\/65"}],"replies":[{"embeddable":true,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/comments?post=9736"}],"version-history":[{"count":0,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/posts\/9736\/revisions"}],"wp:attachment":[{"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/media?parent=9736"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/categories?post=9736"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/forumarchives.tmsites.net\/index.php\/wp-json\/wp\/v2\/tags?post=9736"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}