It's complicated by the fact that with 1 trial, there is a 0% chance that the house will take within 1.89 to 1.91 percent.
The chance is not 0%, but it is very small, perhaps <<0.001%.
I think you may have misunderstood. If after 1 bet the house has a profit, it's a 99.5% profit (0.5% is returned to the player). It's never a 1.9% profit.
Quote
Total of 47 bets unaccounted for.
Results: 2013-Apr-03 11:51am (up to block 229527)
Address Target Should Win | #Bets | Win | Lose | Refunds | BTC In | BTC Out | Refund | Profit | RTP
----------------------------------------------------------------------------------------------------------------------------------------------
1dice1e6p 1 0.00002 | 117399 | 3 (0.00003) | 115561 | 1835 | 1418.85 | 3841.57 | 141.67 | -2422.71 | 270.751
1dice1Qf4 2 0.00003 | 6851 | 0 (0.00000) | 6299 | 552 | 111.13 | 0.14 | 22.23 | 110.99 | 0.131
1dice2pxm 4 0.00006 | 8885 | 1 (0.00012) | 8413 | 471 | 136.37 | 160.10 | 14.54 | -23.73 | 117.403
1dice2vQo 8 0.00012 | 15522 | 5 (0.00033) | 15028 | 489 | 304.80 | 432.37 | 10.11 | -127.57 | 141.856
1dice2WmR 16 0.00024 | 16464 | 1 (0.00006) | 16000 | 463 | 566.01 | 5.40 | 22.13 | 560.60 | 0.956
1dice2xkj 32 0.00049 | 23419 | 11 (0.00048) | 22992 | 416 | 1367.75 | 1537.62 | 1.45 | -169.87 | 112.420
1dice2zdo 64 0.00098 | 26231 | 32 (0.00124) | 25703 | 496 | 1922.80 | 1521.20 | 55.91 | 401.60 | 79.114
1dice37Ee 128 0.00195 | 20749 | 38 (0.00187) | 20241 | 470 | 2379.58 | 1562.89 | 48.42 | 816.68 | 65.679
1dice3jkp 256 0.00391 | 25893 | 113 (0.00443) | 25375 | 405 | 5996.58 | 8653.62 | 13.25 | -2657.04 | 144.309
1dice4J1m 512 0.00781 | 37032 | 296 (0.00815) | 36007 | 729 | 8286.23 | 6899.00 | 10.13 | 1387.22 | 83.259
1dice5wwE 1000 0.01526 | 130886 | 1973 (0.01514) | 128348 | 565 | 40990.30 | 36083.16 | 2.22 | 4907.14 | 88.029
1dice61SN 1500 0.02289 | 25466 | 581 (0.02315) | 24520 | 365 | 7961.39 | 8558.13 | 15.12 | -596.73 | 107.495
1dice6DPt 2000 0.03052 | 84015 | 2570 (0.03074) | 81042 | 403 | 40958.39 | 36633.46 | 9.39 | 4324.92 | 89.441
1dice6gJg 3000 0.04578 | 30057 | 1367 (0.04621) | 28217 | 473 | 9808.39 | 10627.78 | 25.34 | -819.38 | 108.354
1dice6GV5 4000 0.06104 | 36081 | 2216 (0.06211) | 33462 | 403 | 7723.23 | 7513.56 | 31.39 | 209.66 | 97.285
1dice6wBx 6000 0.09155 | 50262 | 4569 (0.09179) | 45206 | 487 | 16789.73 | 18399.76 | 7.43 | -1610.02 | 109.589
1dice6YgE 8000 0.12207 | 196469 | 24023 (0.12261) | 171903 | 543 | 96113.87 | 94971.36 | 100.62 | 1142.50 | 98.811
1dice7EYz 12000 0.18311 | 104377 | 18973 (0.18280) | 84819 | 585 | 175335.89 | 176243.30 | 3315.05 | -907.40 | 100.518
1dice7fUk 16000 0.24414 | 270168 | 65844 (0.24426) | 203719 | 605 | 372802.77 | 358817.24 | 2322.58 | 13985.52 | 96.249
1dice7W2A 24000 0.36621 | 263772 | 96786 (0.36779) | 166368 | 618 | 590251.02 | 582124.88 | 1013.34 | 8126.13 | 98.623
1dice8EMZ 32000 0.48828 | 1167655 | 569067 (0.48810) | 596824 | 1764 | 903486.61 | 885558.38 | 2925.34 | 17928.23 | 98.016
1dice97EC 32768 0.50000 | 652546 | 325402 (0.49966) | 325839 | 1305 | 679635.59 | 662940.30 | 6521.88 | 16695.28 | 97.543
1dice9wcM 48000 0.73242 | 371003 | 272221 (0.73522) | 98039 | 743 | 307390.07 | 300293.47 | 6172.23 | 7096.60 | 97.691
1dicec9k7 52000 0.79346 | 83238 | 65666 (0.79445) | 16990 | 582 | 64156.04 | 62745.47 | 1187.78 | 1410.56 | 97.801
1dicegEAr 56000 0.85449 | 74192 | 63010 (0.85675) | 10535 | 647 | 81314.33 | 80528.56 | 400.81 | 785.76 | 99.034
1diceDCd2 60000 0.91553 | 116106 | 105780 (0.91625) | 9669 | 657 | 74182.51 | 73131.53 | 0.97 | 1050.97 | 98.583
1dice9wVt 64000 0.97656 | 19248 | 17566 (0.97964) | 365 | 1317 | 24733.69 | 24319.01 | 240.51 | 414.67 | 98.323
----------------------------------------------------------------------------------------------------------------------------------------------
small (bets < 4 BTC) | 3854007 | 1583822 | 2252090 | 18095 | 811433.98 | 797411.52 | 286.73 | 14022.46 | 98.272
big (bets >= 4 BTC) | 119979 | 54292 | 65394 | 293 | 2704690.03 | 2646691.88 | 24345.21 | 57998.15 | 97.856
----------------------------------------------------------------------------------------------------------------------------------------------
| 3973986 | 1638114 | 2317484 | 18388 | 3516124.02 | 3444103.40 | 24631.95 | 72020.61 | 97.952
----------------------------------------------------------------------------------------------------------------------------------------------
SD Profit before fees: 72020.61453961 BTC (2.048%)
Cumulative Fees Paid: 3184.91817500 BTC
SD Profit after fees: 68835.69636461 BTC (1.958%)
Pending Liabilities: -0.52469045 BTC
Final SD Profit: 68836.22105506 BTC (1.958%)
Profit This Month: 993.29448744 BTC
----
Since Satoshi Dice started, there have been:
Blockchain Tx: 12577501 : SatoshiDice Tx: 7301854 (58.1%)
Blockchain MB: 5452.9 : SatoshiDice MB: 3009.1 (55.2%)
Results: 2013-Apr-03 11:51am (up to block 229527)
Address Target Should Win | #Bets | Win | Lose | Refunds | BTC In | BTC Out | Refund | Profit | RTP
----------------------------------------------------------------------------------------------------------------------------------------------
1dice1e6p 1 0.00002 | 117399 | 3 (0.00003) | 115561 | 1835 | 1418.85 | 3841.57 | 141.67 | -2422.71 | 270.751
1dice1Qf4 2 0.00003 | 6851 | 0 (0.00000) | 6299 | 552 | 111.13 | 0.14 | 22.23 | 110.99 | 0.131
1dice2pxm 4 0.00006 | 8885 | 1 (0.00012) | 8413 | 471 | 136.37 | 160.10 | 14.54 | -23.73 | 117.403
1dice2vQo 8 0.00012 | 15522 | 5 (0.00033) | 15028 | 489 | 304.80 | 432.37 | 10.11 | -127.57 | 141.856
1dice2WmR 16 0.00024 | 16464 | 1 (0.00006) | 16000 | 463 | 566.01 | 5.40 | 22.13 | 560.60 | 0.956
1dice2xkj 32 0.00049 | 23419 | 11 (0.00048) | 22992 | 416 | 1367.75 | 1537.62 | 1.45 | -169.87 | 112.420
1dice2zdo 64 0.00098 | 26231 | 32 (0.00124) | 25703 | 496 | 1922.80 | 1521.20 | 55.91 | 401.60 | 79.114
1dice37Ee 128 0.00195 | 20749 | 38 (0.00187) | 20241 | 470 | 2379.58 | 1562.89 | 48.42 | 816.68 | 65.679
1dice3jkp 256 0.00391 | 25893 | 113 (0.00443) | 25375 | 405 | 5996.58 | 8653.62 | 13.25 | -2657.04 | 144.309
1dice4J1m 512 0.00781 | 37032 | 296 (0.00815) | 36007 | 729 | 8286.23 | 6899.00 | 10.13 | 1387.22 | 83.259
1dice5wwE 1000 0.01526 | 130886 | 1973 (0.01514) | 128348 | 565 | 40990.30 | 36083.16 | 2.22 | 4907.14 | 88.029
1dice61SN 1500 0.02289 | 25466 | 581 (0.02315) | 24520 | 365 | 7961.39 | 8558.13 | 15.12 | -596.73 | 107.495
1dice6DPt 2000 0.03052 | 84015 | 2570 (0.03074) | 81042 | 403 | 40958.39 | 36633.46 | 9.39 | 4324.92 | 89.441
1dice6gJg 3000 0.04578 | 30057 | 1367 (0.04621) | 28217 | 473 | 9808.39 | 10627.78 | 25.34 | -819.38 | 108.354
1dice6GV5 4000 0.06104 | 36081 | 2216 (0.06211) | 33462 | 403 | 7723.23 | 7513.56 | 31.39 | 209.66 | 97.285
1dice6wBx 6000 0.09155 | 50262 | 4569 (0.09179) | 45206 | 487 | 16789.73 | 18399.76 | 7.43 | -1610.02 | 109.589
1dice6YgE 8000 0.12207 | 196469 | 24023 (0.12261) | 171903 | 543 | 96113.87 | 94971.36 | 100.62 | 1142.50 | 98.811
1dice7EYz 12000 0.18311 | 104377 | 18973 (0.18280) | 84819 | 585 | 175335.89 | 176243.30 | 3315.05 | -907.40 | 100.518
1dice7fUk 16000 0.24414 | 270168 | 65844 (0.24426) | 203719 | 605 | 372802.77 | 358817.24 | 2322.58 | 13985.52 | 96.249
1dice7W2A 24000 0.36621 | 263772 | 96786 (0.36779) | 166368 | 618 | 590251.02 | 582124.88 | 1013.34 | 8126.13 | 98.623
1dice8EMZ 32000 0.48828 | 1167655 | 569067 (0.48810) | 596824 | 1764 | 903486.61 | 885558.38 | 2925.34 | 17928.23 | 98.016
1dice97EC 32768 0.50000 | 652546 | 325402 (0.49966) | 325839 | 1305 | 679635.59 | 662940.30 | 6521.88 | 16695.28 | 97.543
1dice9wcM 48000 0.73242 | 371003 | 272221 (0.73522) | 98039 | 743 | 307390.07 | 300293.47 | 6172.23 | 7096.60 | 97.691
1dicec9k7 52000 0.79346 | 83238 | 65666 (0.79445) | 16990 | 582 | 64156.04 | 62745.47 | 1187.78 | 1410.56 | 97.801
1dicegEAr 56000 0.85449 | 74192 | 63010 (0.85675) | 10535 | 647 | 81314.33 | 80528.56 | 400.81 | 785.76 | 99.034
1diceDCd2 60000 0.91553 | 116106 | 105780 (0.91625) | 9669 | 657 | 74182.51 | 73131.53 | 0.97 | 1050.97 | 98.583
1dice9wVt 64000 0.97656 | 19248 | 17566 (0.97964) | 365 | 1317 | 24733.69 | 24319.01 | 240.51 | 414.67 | 98.323
----------------------------------------------------------------------------------------------------------------------------------------------
small (bets < 4 BTC) | 3854007 | 1583822 | 2252090 | 18095 | 811433.98 | 797411.52 | 286.73 | 14022.46 | 98.272
big (bets >= 4 BTC) | 119979 | 54292 | 65394 | 293 | 2704690.03 | 2646691.88 | 24345.21 | 57998.15 | 97.856
----------------------------------------------------------------------------------------------------------------------------------------------
| 3973986 | 1638114 | 2317484 | 18388 | 3516124.02 | 3444103.40 | 24631.95 | 72020.61 | 97.952
----------------------------------------------------------------------------------------------------------------------------------------------
SD Profit before fees: 72020.61453961 BTC (2.048%)
Cumulative Fees Paid: 3184.91817500 BTC
SD Profit after fees: 68835.69636461 BTC (1.958%)
Pending Liabilities: -0.52469045 BTC
Final SD Profit: 68836.22105506 BTC (1.958%)
Profit This Month: 993.29448744 BTC
----
Since Satoshi Dice started, there have been:
Blockchain Tx: 12577501 : SatoshiDice Tx: 7301854 (58.1%)
Blockchain MB: 5452.9 : SatoshiDice MB: 3009.1 (55.2%)
