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Turbo Fortune
Introduction
Turbo Fortune is in the family of vertical wheel games, like Wheel of Fortune/Bix Six. What sets this one apart from most other wheel games is multipliers.
The game is by Real Dealer Studios, a provider of live dealer games for Internet casinos. They also call the game Fortune Finder.
Rules
- The following table shows the various symbols which the wheel may stop on and the number of such symbols on the wheel.
- 1 — 23 stops
- 2 — 15 stops
- 5 — 7 stops
- 10 — 4 stops
- 20 — 2 stops
- 40 — 1 stop
- 2x — 1 stop
- 7x — 1 stop
- The player may bet on the 1, 2, 5, 10, 20, or 40.
- If the player bets on a number and the wheel stops in that same number, then bet the bet shall pay odds equal to that number. For example, winning bets on 5 pay 5 to 1.
- The 2x and 7x are multipliers.
- If the wheel lands in a multiplier, then the wheel will be re-spun. The multiplier of the first spin will be applied to the win for the outcome of the second spin. For example, if the wheel stops in 7x and the subsequent spin stops in 5, then winning bets on 5 will pay 7×5 = 35 to 1.
- If the wheel stops in multiple multipliers, then the product of all the multipliers will be applied to the final winning number. For example, if the sequence of spins goes 7x,2x,7x,10, then winning bets on 10 will be paid 7×2×7×10 = 980 to 1.
- I assume the maximum number of multipliers the player may earn on one bet is four. I arrive at four because the math works out to the maximum RTP (Return to Player) claimed by Reel Dealer Studios of 96.58%. It will probably never happen, but I assume if there are four consecutive multipliers, then the dealer will keep spinning the wheel until it stops on a numbers. Any multipliers after five will not count.
Analysis
Following is my analysis of the bet on 1. The lower right cell shows a house edge of 4.66%.
1 Analysis
| Multiplier | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 2401 | 2401 | 23 | 0.000000 | 0.000125 |
| 686 | 686 | 92 | 0.000000 | 0.000143 |
| 343 | 343 | 1,196 | 0.000003 | 0.000928 |
| 196 | 196 | 138 | 0.000000 | 0.000061 |
| 98 | 98 | 3,588 | 0.000008 | 0.000795 |
| 56 | 56 | 92 | 0.000000 | 0.000012 |
| 49 | 49 | 64,584 | 0.000146 | 0.007157 |
| 28 | 28 | 3,588 | 0.000008 | 0.000227 |
| 16 | 16 | 23 | 0.000000 | 0.000001 |
| 14 | 14 | 129,168 | 0.000292 | 0.004090 |
| 8 | 8 | 1,196 | 0.000003 | 0.000022 |
| 7 | 7 | 3,487,536 | 0.007888 | 0.055213 |
| 4 | 4 | 64,584 | 0.000146 | 0.000584 |
| 2 | 2 | 3,487,536 | 0.007888 | 0.015775 |
| 1 | 1 | 188,326,944 | 0.425926 | 0.425926 |
| Loss | -1 | 246,588,624 | 0.557692 | -0.557692 |
| Total | 442,158,912 | 1.000000 | -0.046634 |
Following is my analysis of the bet on 2. The lower right cell shows a house edge of 4.49%.
2 Analysis
| Multiplier | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 2401 | 4802 | 15 | 0.000000 | 0.000163 |
| 686 | 1372 | 60 | 0.000000 | 0.000186 |
| 343 | 686 | 780 | 0.000002 | 0.001210 |
| 196 | 392 | 90 | 0.000000 | 0.000080 |
| 98 | 196 | 2,340 | 0.000005 | 0.001037 |
| 56 | 112 | 60 | 0.000000 | 0.000015 |
| 49 | 98 | 42,120 | 0.000095 | 0.009335 |
| 28 | 56 | 2,340 | 0.000005 | 0.000296 |
| 16 | 32 | 15 | 0.000000 | 0.000001 |
| 14 | 28 | 84,240 | 0.000191 | 0.005335 |
| 8 | 16 | 780 | 0.000002 | 0.000028 |
| 7 | 14 | 2,274,480 | 0.005144 | 0.072016 |
| 4 | 8 | 42,120 | 0.000095 | 0.000762 |
| 2 | 4 | 2,274,480 | 0.005144 | 0.020576 |
| 1 | 2 | 122,821,920 | 0.277778 | 0.555556 |
| Loss | -1 | 314,613,072 | 0.711538 | -0.711538 |
| Total | 442,158,912 | 1.000000 | -0.044941 |
Following is my analysis of the bet on 5. The lower right cell shows a house edge of 8.77%.
5 Analysis
| Multiplier | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 2401 | 12005 | 7 | 0.000000 | 0.000190 |
| 686 | 3430 | 28 | 0.000000 | 0.000217 |
| 343 | 1715 | 364 | 0.000001 | 0.001412 |
| 196 | 980 | 42 | 0.000000 | 0.000093 |
| 98 | 490 | 1,092 | 0.000002 | 0.001210 |
| 56 | 280 | 28 | 0.000000 | 0.000018 |
| 49 | 245 | 19,656 | 0.000044 | 0.010891 |
| 28 | 140 | 1,092 | 0.000002 | 0.000346 |
| 16 | 80 | 7 | 0.000000 | 0.000001 |
| 14 | 70 | 39,312 | 0.000089 | 0.006224 |
| 8 | 40 | 364 | 0.000001 | 0.000033 |
| 7 | 35 | 1,061,424 | 0.002401 | 0.084019 |
| 4 | 20 | 19,656 | 0.000044 | 0.000889 |
| 2 | 10 | 1,061,424 | 0.002401 | 0.024005 |
| 1 | 5 | 57,316,896 | 0.129630 | 0.648148 |
| Loss | -1 | 382,637,520 | 0.865385 | -0.865385 |
| Total | 442,158,912 | 1.000000 | -0.087688 |
Following is my analysis of the bet on 10. The lower right cell shows a house edge of 3.43%.
10 Analysis
| Multiplier | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 2401 | 24010 | 4 | 0.000000 | 0.000217 |
| 686 | 6860 | 16 | 0.000000 | 0.000248 |
| 343 | 3430 | 208 | 0.000000 | 0.001614 |
| 196 | 1960 | 24 | 0.000000 | 0.000106 |
| 98 | 980 | 624 | 0.000001 | 0.001383 |
| 56 | 560 | 16 | 0.000000 | 0.000020 |
| 49 | 490 | 11,232 | 0.000025 | 0.012447 |
| 28 | 280 | 624 | 0.000001 | 0.000395 |
| 16 | 160 | 4 | 0.000000 | 0.000001 |
| 14 | 140 | 22,464 | 0.000051 | 0.007113 |
| 8 | 80 | 208 | 0.000000 | 0.000038 |
| 7 | 70 | 606,528 | 0.001372 | 0.096022 |
| 4 | 40 | 11,232 | 0.000025 | 0.001016 |
| 2 | 20 | 606,528 | 0.001372 | 0.027435 |
| 1 | 10 | 32,752,512 | 0.074074 | 0.740741 |
| Loss | -1 | 408,146,688 | 0.923077 | -0.923077 |
| Total | 442,158,912 | 1.000000 | -0.034280 |
Following is my analysis of the bet on 20. The lower right cell shows a house edge of 7.27%.
20 Analysis
| Multiplier | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 2401 | 48020 | 2 | 0.000000 | 0.000217 |
| 686 | 13720 | 8 | 0.000000 | 0.000248 |
| 343 | 6860 | 104 | 0.000000 | 0.001614 |
| 196 | 3920 | 12 | 0.000000 | 0.000106 |
| 98 | 1960 | 312 | 0.000001 | 0.001383 |
| 56 | 1120 | 8 | 0.000000 | 0.000020 |
| 49 | 980 | 5,616 | 0.000013 | 0.012447 |
| 28 | 560 | 312 | 0.000001 | 0.000395 |
| 16 | 320 | 2 | 0.000000 | 0.000001 |
| 14 | 280 | 11,232 | 0.000025 | 0.007113 |
| 8 | 160 | 104 | 0.000000 | 0.000038 |
| 7 | 140 | 303,264 | 0.000686 | 0.096022 |
| 4 | 80 | 5,616 | 0.000013 | 0.001016 |
| 2 | 40 | 303,264 | 0.000686 | 0.027435 |
| 1 | 20 | 16,376,256 | 0.037037 | 0.740741 |
| Loss | -1 | 425,152,800 | 0.961538 | -0.961538 |
| Total | 442,158,912 | 1.000000 | -0.072742 |
Following is my analysis of the bet on 40. The lower right cell shows a house edge of 9.20%.
40 Analysis
| Multiplier | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 2401 | 96040 | 1 | 0.000000 | 0.000217 |
| 686 | 27440 | 4 | 0.000000 | 0.000248 |
| 343 | 13720 | 52 | 0.000000 | 0.001614 |
| 196 | 7840 | 6 | 0.000000 | 0.000106 |
| 98 | 3920 | 156 | 0.000000 | 0.001383 |
| 56 | 2240 | 4 | 0.000000 | 0.000020 |
| 49 | 1960 | 2,808 | 0.000006 | 0.012447 |
| 28 | 1120 | 156 | 0.000000 | 0.000395 |
| 16 | 640 | 1 | 0.000000 | 0.000001 |
| 14 | 560 | 5,616 | 0.000013 | 0.007113 |
| 8 | 320 | 52 | 0.000000 | 0.000038 |
| 7 | 280 | 151,632 | 0.000343 | 0.096022 |
| 4 | 160 | 2,808 | 0.000006 | 0.001016 |
| 2 | 80 | 151,632 | 0.000343 | 0.027435 |
| 1 | 40 | 8,188,128 | 0.018519 | 0.740741 |
| Loss | -1 | 433,655,856 | 0.980769 | -0.980769 |
| Total | 442,158,912 | 1.000000 | -0.091973 |
The following table summarizes the house edge on each bet. You can see the best value is on the 10, with a house edge of 3.43%.
House Edge Summary
| Bet | House Edge |
|---|---|
| 1 | 4.66% |
| 2 | 4.49% |
| 5 | 8.77% |
| 10 | 3.43% |
| 20 | 7.27% |
| 40 | 9.20% |
External Links
Real Dealer Studios — Corporate web site of the Turbo Fortune creators.