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Last Updated: April 9, 2016

Touchdown Roulette


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Introduction


Touchdown Roulette game at the Bellagio, which follows the South Point pay table.


Touchdown Roulette is a side bet in some electronic roulette games made by Interblock. If the player makes the side bet and the ball lands in zero or double-zero, then the player will play a simulated football game based on four roulette spins. Following the complete rules and odds.

Rules



  1. The game is based on standard double-zero roulette.
  2. In addition to all the usual bets, the player may bet $1 to $5 on a side bet down as Touchdown Roulette. All other outcomes, 1 to 36, shall cause the side bet to lose.
  3. If the ball lands in zero or double-zero, then the game will go into a simulated football game.
  4. Before the game, each player who made the side bet will pick the red or black team.
  5. The ball shall start on the 50-yard line (the middle of the field).
  6. The next four spins will determine the movement of ball, as follows:
    • Red 1 to 10: 3 yards towards a Red Team touchdown.
    • Black 1 to 10: 3 yards towards a Black Team touchdown.
    • Red 11 to 20: 5 yards towards a Red Team touchdown.
    • Black 11 to 20: 5 yards towards a Black Team touchdown.
    • Red 21 to 30: 10 yards towards a Red Team touchdown.
    • Black 21 to 30: 10 yards towards a Black Team touchdown.
    • Red 31 to 36: 15 yards towards a Red Team touchdown.
    • Black 31 to 36: 15 yards towards a Black Team touchdown.
  7. After the fourth spin, the location of the ball shall determine the winner of the game. If the ball is closer to a Red Touchdown, then red wins. Vise-versa for black. If the ball is on the 50-yard line, then the game shall be a tie.
  8. The table below shows the win for each possible outcome under two known pay tables available for the game, identified by the casinos that have the game. Wins according to the yard line are for bets on the winning team only.

Touchdown Roulette

Yard Line Borgata South Point
Touchdown 500 to 1 1000 to 1
1 to 10 250 to 1 200 to 1
11 to 20 75 to 1 75 to 1
21 to 30 50 to 1 50 to 1
31 to 40 25 to 1 25 to 1
41 to 50 10 to 1 10 to 1
50 5 to 1 5 to 1
Loss 1 to 1 1 to 1


Analysis



The following table shows the probability of each ball position after each spin.

Touchdown Roulette — Ball Position Probability Table

Yard Line Spin 1 Spin 2 Spin 3 Spin 4
Touchdown 0.000000 0.000000 0.000000 0.001204
1 0.000000 0.000000 0.000000 0.000000
2 0.000000 0.000000 0.000000 0.000259
3 0.000000 0.000000 0.000000 0.000000
4 0.000000 0.000000 0.000000 0.000000
5 0.000000 0.000000 0.000492 0.002118
6 0.000000 0.000000 0.000000 0.000000
7 0.000000 0.000000 0.000000 0.001295
8 0.000000 0.000000 0.000000 0.000259
9 0.000000 0.000000 0.000000 0.000000
10 0.000000 0.000000 0.002460 0.003882
11 0.000000 0.000000 0.000000 0.000000
12 0.000000 0.000000 0.000000 0.003453
13 0.000000 0.000000 0.000000 0.001295
14 0.000000 0.000000 0.000000 0.000647
15 0.000000 0.000000 0.006561 0.006292
16 0.000000 0.000000 0.000000 0.000000
17 0.000000 0.000000 0.002460 0.006033
18 0.000000 0.000000 0.000000 0.003453
19 0.000000 0.000000 0.000000 0.002158
20 0.000000 0.006233 0.011463 0.011026
21 0.000000 0.000000 0.000000 0.000000
22 0.000000 0.000000 0.008201 0.008776
23 0.000000 0.000000 0.002460 0.006033
24 0.000000 0.000000 0.000000 0.003957
25 0.000000 0.020776 0.016675 0.018426
26 0.000000 0.000000 0.000000 0.001367
27 0.000000 0.000000 0.015035 0.012373
28 0.000000 0.000000 0.008201 0.008776
29 0.000000 0.000000 0.004100 0.004460
30 0.000000 0.038089 0.023509 0.026519
31 0.000000 0.000000 0.000000 0.003357
32 0.000000 0.020776 0.016949 0.019586
33 0.000000 0.000000 0.015035 0.012373
34 0.000000 0.000000 0.006834 0.005395
35 0.078947 0.042936 0.041314 0.031338
36 0.000000 0.000000 0.000000 0.005156
37 0.000000 0.034626 0.020502 0.025034
38 0.000000 0.020776 0.016949 0.019886
39 0.000000 0.000000 0.006834 0.007194
40 0.131579 0.051939 0.054399 0.036525
41 0.000000 0.000000 0.006378 0.004940
42 0.000000 0.034626 0.027336 0.026473
43 0.000000 0.034626 0.020502 0.025034
44 0.000000 0.017313 0.002734 0.010695
45 0.131579 0.069252 0.057133 0.042856
46 0.000000 0.000000 0.006834 0.006594
47 0.131579 0.013850 0.040184 0.024133
48 0.000000 0.034626 0.027336 0.026473
49 0.000000 0.000000 0.006834 0.008393
50 0.052632 0.119114 0.048586 0.049006
51 0.000000 0.000000 0.006834 0.008393
52 0.000000 0.034626 0.027336 0.026473
53 0.131579 0.013850 0.040184 0.024133
54 0.000000 0.000000 0.006834 0.006594
55 0.131579 0.069252 0.057133 0.042856
56 0.000000 0.017313 0.002734 0.010695
57 0.000000 0.034626 0.020502 0.025034
58 0.000000 0.034626 0.027336 0.026473
59 0.000000 0.000000 0.006378 0.004940
60 0.131579 0.051939 0.054399 0.036525
61 0.000000 0.000000 0.006834 0.007194
62 0.000000 0.020776 0.016949 0.019886
63 0.000000 0.034626 0.020502 0.025034
64 0.000000 0.000000 0.000000 0.005156
65 0.078947 0.042936 0.041314 0.031338
66 0.000000 0.000000 0.006834 0.005395
67 0.000000 0.000000 0.015035 0.012373
68 0.000000 0.020776 0.016949 0.019586
69 0.000000 0.000000 0.000000 0.003357
70 0.000000 0.038089 0.023509 0.026519
71 0.000000 0.000000 0.004100 0.004460
72 0.000000 0.000000 0.008201 0.008776
73 0.000000 0.000000 0.015035 0.012373
74 0.000000 0.000000 0.000000 0.001367
75 0.000000 0.020776 0.016675 0.018426
76 0.000000 0.000000 0.000000 0.003957
77 0.000000 0.000000 0.002460 0.006033
78 0.000000 0.000000 0.008201 0.008776
79 0.000000 0.000000 0.000000 0.000000
80 0.000000 0.006233 0.011463 0.011026
81 0.000000 0.000000 0.000000 0.002158
82 0.000000 0.000000 0.000000 0.003453
83 0.000000 0.000000 0.002460 0.006033
84 0.000000 0.000000 0.000000 0.000000
85 0.000000 0.000000 0.006561 0.006292
86 0.000000 0.000000 0.000000 0.000647
87 0.000000 0.000000 0.000000 0.001295
88 0.000000 0.000000 0.000000 0.003453
89 0.000000 0.000000 0.000000 0.000000
90 0.000000 0.000000 0.002460 0.003882
91 0.000000 0.000000 0.000000 0.000000
92 0.000000 0.000000 0.000000 0.000259
93 0.000000 0.000000 0.000000 0.001295
94 0.000000 0.000000 0.000000 0.000000
95 0.000000 0.000000 0.000492 0.002118
96 0.000000 0.000000 0.000000 0.000000
97 0.000000 0.000000 0.000000 0.000000
98 0.000000 0.000000 0.000000 0.000259
99 0.000000 0.000000 0.000000 0.000000
Touchdown 0.000000 0.000000 0.000000 0.001204

Based on the table above, the next table shows the probability and return from each possible outcome of the Touchdown Roulette bet under both pay tables.

Touchdown Roulette — Borgata Return Table

Event Pays Probability Return
Touchdown 500 0.000063 0.031690
1 to 10 yard line 250 0.000411 0.102802
11 to 20 yard line 75 0.001808 0.135622
21 to 30 yard line 50 0.004773 0.238650
31 to 40 yard line 25 0.008729 0.218217
41 to 49 yard line 10 0.009242 0.092416
50 yard line 5 0.002579 0.012896
All other 1 0.025026 0.025026
No bonus -1 0.947368 -0.947368
Total 1.000000 -0.090049

The average bonus win under the Borgata rules is 16.289067.

Touchdown Roulette — South Point Return Table

Event Pays Probability Return
Touchdown 1000 0.000063 0.063381
1 to 10 yard line 200 0.000411 0.082241
11 to 20 yard line 75 0.001808 0.135622
21 to 30 yard line 50 0.004773 0.238650
31 to 40 yard line 25 0.008729 0.218217
41 to 49 yard line 10 0.009242 0.092416
50 yard line 5 0.002579 0.012896
All other 1 0.025026 0.025026
No bonus -1 0.947368 -0.947368
Total 1.000000 -0.078919

The average bonus win under the South Point rules is 16.500540.

Strategy



Given that the house edge on every roulette bet is 5.26%, and for Touchdown Roulette it is 7.89% or 9.00%, depending on the rules, the proper strategy for the game is to bet anything except the Touchdown Roulette side bet and the dreaded 0-00-1-2-3 combination bet, which carries a house edge of 7.89%.

If you must make the Touchdown Roulette bet and given the choice of where to play, then look for the more liberal South Point 1000-200 pay table on the top two awards.



  • Press release about the game launch at the Borgata, from the game maker's web site.
  • Wizard of Vegas — Discussion about Touchdown Roulette at my forum.

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