SwongSim will answer your question. It can give an approximate probability of a 2500-game breakeven stretches over a longer sample (tick 'Run Text Only' and see the text results). But as far as I've understood your query, you only need to put in 'Games per simulation = 2500' and find the line 'x% had ROI below 0.yz%' in the text results. E.g. the following sim results
Code:
---------------------------------------------------------------------------------------
Effective Specified Simulation
Place Finish Distribution Finish Distribution
1 0,00037% 0,00048%
2 0,00033% 0,0002%
3 0,0003% 0,0004%
4 0,00185% 0,00196%
5 0,00165% 0,0018%
6 0,0015% 0,00152%
7 0,0037% 0,00336%
8 0,0033% 0,00316%
9 0,003% 0,00296%
10 0,037% 0,03664%
11 0,185% 0,18248%
12 2,775% 2,76704%
13 7,90542% 7,8894%
14 26,09166% 26,06596%
ITM 37,01008% 36,95736%
---------------------------------------------------------------------------------------
1000 simulations of 2500 games
Expected ROI (with rakeback/bonus/award): 5,39% (135 Buyins)
---------------------------------------------------------------------------------------
99% had ROI below 119,52% (2988 Buyins)
97.5% had ROI below 14,28% (357 Buyins)
95% had ROI below 12,20% (305 Buyins)
90% had ROI below 9,76% (244 Buyins)
80% had ROI below 7,32% (183 Buyins)
70% had ROI below 5,84% (146 Buyins)
60% had ROI below 4,76% (119 Buyins)
50% had ROI below 3,72% (93 Buyins)
40% had ROI below 2,80% (70 Buyins)
30% had ROI below 1,80% (45 Buyins)
20% had ROI below 0,68% (17 Buyins)
10% had ROI below -0,80% (-20 Buyins)
5% had ROI below -1,96% (-49 Buyins)
2.5% had ROI below -2,88% (-72 Buyins)
1% had ROI below -3,72% (-93 Buyins)
---------------------------------------------------------------------------------------
99% had a downswing greater than 33 buyins
97.5% had a downswing greater than 36 buyins
95% had a downswing greater than 40 buyins
90% had a downswing greater than 44 buyins
80% had a downswing greater than 49 buyins
70% had a downswing greater than 54 buyins
60% had a downswing greater than 59 buyins
50% had a downswing greater than 65 buyins
40% had a downswing greater than 72 buyins
30% had a downswing greater than 80 buyins
20% had a downswing greater than 91 buyins
10% had a downswing greater than 108 buyins
5% had a downswing greater than 125 buyins
2.5% had a downswing greater than 138 buyins
1% had a downswing greater than 154 buyins
---------------------------------------------------------------------------------------
99% had a low point lower than 0 buyins
97.5% had a low point lower than 0 buyins
95% had a low point lower than -1 buyins
90% had a low point lower than -4 buyins
80% had a low point lower than -8 buyins
70% had a low point lower than -13 buyins
60% had a low point lower than -18 buyins
50% had a low point lower than -24 buyins
40% had a low point lower than -32 buyins
30% had a low point lower than -40 buyins
20% had a low point lower than -54 buyins
10% had a low point lower than -75 buyins
5% had a low point lower than -87 buyins
2.5% had a low point lower than -107 buyins
1% had a low point lower than -127 buyins
---------------------------------------------------------------------------------------
99% had a breakeven stretch longer than 310 games
97.5% had a breakeven stretch longer than 355 games
95% had a breakeven stretch longer than 420 games
90% had a breakeven stretch longer than 495 games
80% had a breakeven stretch longer than 604 games
70% had a breakeven stretch longer than 729 games
60% had a breakeven stretch longer than 854 games
50% had a breakeven stretch longer than 976 games
40% had a breakeven stretch longer than 1150 games
30% had a breakeven stretch longer than 1328 games
20% had a breakeven stretch longer than 1595 games
10% had a breakeven stretch longer than 2009 games
5% had a breakeven stretch longer than 2258 games
2.5% had a breakeven stretch longer than 2393 games
1% had a breakeven stretch longer than 2477 games
---------------------------------------------------------------------------------------
imply that you were to end up with a loss (negative total ROI) after 2500 games in ~15% of cases.
That probability is a bit bigger for lower stake / higher rake Spins than $15s, but the above calculation is only an example because you need to add rakeback (and subtract life expenses expressed as a % of the rake per game) anyway. E.g. if you spend $500 and play 5K games a month, then your expenses per game are $0.10, which, in the case of the 15s, is equivalent to 28 percentage points ($0.10/$0.75 = 0.28 = 28%) subtracted from the rakeback percentage.
Last edited by coon74; 10-02-2015 at 09:53 PM.