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https://wizardofodds.com/gambling/house-edge/
Quote: CasinoCrasherThat looks really close but, what i'm wanting to do is calculate the house edge in craps for the pass or don't pass line with different levels of variance. To give an example, the house edge for 1, 2, 3, and 4 standard deviations from the mean house edge, and the number of points you would expect to see before a 7 out in each standard deviation.
Wow, you really are looking for something different.
Well, I can give you a list of standard deviations for various levels of free odds that were posted here once by Goatcabin - I haven't been able to find the post again, but here they are as I have saved them
Odds ......... unitSD
0.............. 0.999900005
1............ 1.893050027
2 ........... 2.857879771
Full 2 ... 2.954695498
3........... 3.840744091
345X ... 4.91563184
4............ 4.830647323
5.......... 5.824001368
6........... 6.819298375
7.......... 7.815796102
8.......... 8.813087262
9 ........... 9.810929899
10......... 10.80917128
20 ......... 20.80087901
40 ...... 40.7964868
50......... 50.7955876
60......... 60.79498419
80.......... 80.79422548
100...... 100.7937679
here is an expanded one from hereQuote: odiousgambitWell, I can give you a list of standard deviations for various levels of free odds that were posted here once by Goatcabin - I haven't been able to find the post again, but here they are as I have saved them
https://wizardofvegas.com/forum/gambling/craps/17968-standard-deviation-of-pass-versus-dont-pass/
This table counts the pushes as an event
Odds | Don't Pass unitSD | DP avg bet | Pass unitSD | Pass avg bet | Odds |
---|---|---|---|---|---|
0 | 0.985919 | 1.00 | 0.999900 | 1.00 | 0 |
1 | 1.885703 | 2.00 | 1.893050 | 1.67 | 1 |
2 | 2.853018 | 3.00 | 2.857880 | 2.33 | 2 |
Full 2X | 3.031954 | 3.17 | 2.954695 | 2.47 | Full 2X |
3 | 3.837128 | 4.00 | 3.840744 | 3.00 | 3 |
345X | 4.912807 | 5.00 | 4.915632 | 3.78 | 345X |
4 | 4.827773 | 5.00 | 4.830647 | 3.67 | 4 |
5 | 5.821617 | 6.00 | 5.824001 | 4.33 | 5 |
6 | 6.817262 | 7.00 | 6.819298 | 5.00 | 6 |
7 | 7.814020 | 8.00 | 7.815796 | 5.67 | 7 |
8 | 8.811512 | 9.00 | 8.813087 | 6.33 | 8 |
9 | 9.809515 | 10.00 | 9.810930 | 7.00 | 9 |
10 | 10.807887 | 11.00 | 10.809171 | 7.67 | 10 |
20 | 20.800212 | 21.00 | 20.800879 | 14.33 | 20 |
40 | 40.796147 | 41.00 | 40.796487 | 27.67 | 40 |
50 | 50.795314 | 51.00 | 50.795588 | 34.33 | 50 |
60 | 60.794756 | 61.00 | 60.794984 | 41.00 | 60 |
80 | 80.794054 | 81.00 | 80.794225 | 54.33 | 80 |
100 | 100.793630 | 101.00 | 100.793768 | 67.67 | 100 |
OP looks to be trying to estimate something
that may be easily calculated exactly
who will know?
maybe 7 6s before a 7 sure-fire
betting system for a DI
that can never be calculated exactly
Sally
So in table form the column headings across the top would be...
HE... standard deviation... number of point before a 7 out
Quote: RSSay what? "calculate the house edge...with different levels of variance"? Are you trying to figure out the expected number of points before a 7-out? How frequently you'll see a 0-point shooter, 1-point, 2-point, etc? (ie: 55% for 0 point, 20% for 1 point, 10% for 2 points....etc [made up numbers])?
Pretty much. The Wizard shows some math I agree with for the average number of points before a 7 out as something like 8.53, so betting on the pass line you have your average pass line HE of 1.41 and you see on average 8.53 rolls before a 7 out. I want to extend this in affect to what the house edge is if you see 0, 10, 20, points before a 7 out, and what the the standard deviation is for each (so how often this can be expected to happen).
So in table form the column headings across the top would be...
HE... standard deviation... number of point before a 7 out
Quote: CasinoCrasherQuote: RSSay what? "calculate the house edge...with different levels of variance"? Are you trying to figure out the expected number of points before a 7-out? How frequently you'll see a 0-point shooter, 1-point, 2-point, etc? (ie: 55% for 0 point, 20% for 1 point, 10% for 2 points....etc [made up numbers])?
Pretty much. The Wizard shows some math I agree with for the average number of points before a 7 out as something like 8.53, so betting on the pass line you have your average pass line HE of 1.41 and you see on average 8.53 rolls before a 7 out. I want to extend this in affect to what the house edge is if you see 0, 10, 20, points before a 7 out, and what the the standard deviation is for each (so how often this can be expected to happen).
So in table form the column headings across the top would be...
HE... standard deviation... number of point before a 7 out
Seems interesting. I may work on this a bit, but don't hold your breath.