August 4th, 2011 at 6:59:16 AM
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What is the average number of bets I will have on the table if all I do is Pass line and Come bets, continuously.
I have been looking and all I can find is 8.5 rolls before a 7 out, and 3.7 rolls/decision. Maybe 3.7 is answer but...
I have been looking and all I can find is 8.5 rolls before a 7 out, and 3.7 rolls/decision. Maybe 3.7 is answer but...
August 4th, 2011 at 10:22:58 AM
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goatcabin has nice info in this thread How Many Come Bets is Too Many?Quote: Instanto18What is the average number of bets I will have on the table if all I do is Pass line and Come bets, continuously.
"So, basically, if you make a come bet on every non-comeout roll, your average total of flat bets will be close to 3 1/2 times your basic amount."
added:
Distribution of number of pass/come bets working at any time from simulation. 2 being low and 7 being max.
Average ~3.97
Bets | Prob | or less | or more | Bets |
---|---|---|---|---|
2 | 23.351% | 23.351% | 100.000% | 2 |
3 | 21.206% | 44.556% | 76.649% | 3 |
4 | 18.912% | 63.469% | 55.444% | 4 |
5 | 16.040% | 79.509% | 36.531% | 5 |
6 | 12.657% | 92.166% | 20.491% | 6 |
7 | 7.834% | 100.000% | 7.834% | 7 |
Quote: Instanto18I have been looking and all I can find is 8.5 rolls before a 7 out, and 3.7 rolls/decision. Maybe 3.7 is answer but...
The average number of rolls including the 7 out is 1671/196 or ~8.52
The number of total pass/come bets you would make would be equal to the number of rolls for the length of a shooters hand.
~50.28% one would have made 6 total bets or less.
Probability of Length of a shooters hand (50 roll table)
or more | or less | roll | relative prob |
---|---|---|---|
0.88888888888888 | 11.1111111111% | 2 | 0.111111111 |
0.77211934156378 | 22.7880658436% | 3 | 0.116769547 |
0.66735253772290 | 33.2647462277% | 4 | 0.104766804 |
0.57612890882995 | 42.3871091170% | 5 | 0.091223629 |
0.49721087042117 | 50.2789129579% | 6 | 0.078918038 |
0.42904410662521 | 57.0955893375% | 7 | 0.068166764 |
0.37019134854117 | 62.9808651459% | 8 | 0.058852758 |
0.31939069865160 | 68.0609301348% | 9 | 0.05080065 |
0.27554656198729 | 72.4453438013% | 10 | 0.043844137 |
0.23771042596129 | 76.2289574039% | 11 | 0.037836136 |
0.20506192529306 | 79.4938074707% | 12 | 0.032648501 |
0.17689190346085 | 82.3108096539% | 13 | 0.028170022 |
0.15258756883984 | 84.7412431160% | 14 | 0.024304335 |
0.13161956034846 | 86.8380439652% | 15 | 0.020968008 |
0.11353070335143 | 88.6469296649% | 16 | 0.018088857 |
0.09792624896423 | 90.2073751036% | 17 | 0.015604454 |
0.08446541022661 | 91.5534589773% | 18 | 0.013460839 |
0.07285402926557 | 92.7145970734% | 19 | 0.011611381 |
0.06283822892249 | 93.7161771078% | 20 | 0.0100158 |
0.05419891999510 | 94.5801080005% | 21 | 0.008639309 |
0.04674705117452 | 95.3252948825% | 22 | 0.007451869 |
0.04031950299040 | 95.9680497010% | 23 | 0.006427548 |
0.03477553970682 | 96.5224460293% | 24 | 0.005543963 |
0.02999374426323 | 97.0006255737% | 25 | 0.004781795 |
0.02586937115903 | 97.4130628841% | 26 | 0.004124373 |
0.02231206077227 | 97.7687939228% | 27 | 0.00355731 |
0.01924386611177 | 98.0756133888% | 28 | 0.003068195 |
0.01659754954925 | 98.3402450451% | 29 | 0.002646317 |
0.01431511277769 | 98.5684887222% | 30 | 0.002282437 |
0.01234652819497 | 98.7653471805% | 31 | 0.001968585 |
0.01064864421152 | 98.9351355788% | 32 | 0.001697884 |
0.00918424070887 | 99.0815759291% | 33 | 0.001464404 |
0.00792121410618 | 99.2078785894% | 34 | 0.001263027 |
0.00683187428823 | 99.3168125712% | 35 | 0.00108934 |
0.00589233806802 | 99.4107661932% | 36 | 0.000939536 |
0.00508200594980 | 99.4917994050% | 37 | 0.000810332 |
0.00438311076688 | 99.5616889233% | 38 | 0.000698895 |
0.00378032833215 | 99.6219671668% | 39 | 0.000602782 |
0.00326044158919 | 99.6739558411% | 40 | 0.000519887 |
0.00281205091828 | 99.7187949082% | 41 | 0.000448391 |
0.00242532425864 | 99.7574675741% | 42 | 0.000386727 |
0.00209178157754 | 99.7908218422% | 43 | 0.000333543 |
0.00180410896744 | 99.8195891033% | 44 | 0.000287673 |
0.00155599830003 | 99.8444001700% | 45 | 0.000248111 |
0.00134200892494 | 99.8657991075% | 46 | 0.000213989 |
0.00115744838330 | 99.8842551617% | 47 | 0.000184561 |
0.00099826952247 | 99.9001730478% | 48 | 0.000159179 |
0.00086098175742 | 99.9139018243% | 49 | 0.000137288 |
0.00074257453382 | 99.9257425466% | 50 | 0.000118407 |