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Tenhou and chiihou: Difference between revisions
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I decided to "be bold" so to speak and add some of my own original research (which agrees with a source I found). I think it adds to the article to see the simulated probabilities, but feel free to move/remove it if you feel it's not appropriate.
Pimanrules (talk | contribs) (Added a note about tenhou combining with other yakuman and a link to a clip where it happened (albeit under special circumstances--normally this would be about a one in two billion chance).) |
Pimanrules (talk | contribs) (I decided to "be bold" so to speak and add some of my own original research (which agrees with a source I found). I think it adds to the article to see the simulated probabilities, but feel free to move/remove it if you feel it's not appropriate.) |
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==Value== | ==Value== | ||
Tenhou applies to dealer seats only, so therefore, it is always 48,000 points unless combined with [[Multiple_yakuman|another yakuman]]. Once again, chiihou applies to non-dealers valued at 32,000 points. Both must be won via [[tsumo]]. The [[ron]] variety would be called [[renhou]], which has variable values and applications. | Tenhou applies to dealer seats only, so therefore, it is always 48,000 points unless combined with [[Multiple_yakuman|another yakuman]]. Once again, chiihou applies to non-dealers valued at 32,000 points. Both must be won via [[tsumo]]. The [[ron]] variety would be called [[renhou]], which has variable values and applications. | ||
==Probability== | |||
A randomly drawn hand of 14 tiles has about a one in 330,000 (~0.0003%) chance of being a valid mahjong hand and thus qualifying for tenhou or chiihou.<ref>http://www10.plala.or.jp/rascalhp/mjmath.htm</ref> Based on a [[wikipedia:Monte Carlo method|Monte Carlo simulation]] of one hundred billion (100,000,000,000) such randomly drawn hands, the distribution of outcomes is as follows: | |||
{| class="wikitable" | |||
|- | |||
! Outcome !! Occurences | |||
|- | |||
| Not a winning hand || 99,999,696,816 | |||
|- | |||
| Tenhou in standard form || 267,813 | |||
|- | |||
| Tenhou in [[chiitoitsu]] form || 35,351 | |||
|- | |||
| Tenhou with [[suuankou]] || 43 | |||
|- | |||
| Tenhou with [[kokushi musou]] || 20 | |||
|- | |||
| Tenhou with [[daisangen]] || 1 | |||
|- | |||
| Tenhou with [[chuuren poutou]] || 1 | |||
|} | |||
==References== | ==References== | ||