Game Theory Analysis
CASTLE ROULETTE
Castle Roulette
House Edge 0.00%
Duel's live zero edge roulette.
Castle Roulette quick sim
Pick a side and see the exact hit rate, volatility, and payout profile per 1 unit wagered.
EV 0.00
Math note All Castle Roulette sides are modeled at 100.00% RTP. Your choice changes hit rate and variance, not expected value.
House Edge
0.00%
STD
1.00
P(win)
50.00%
Win Multiplier
2.00x
Castle side map
Selected side breakdown across all 48 outcomes.
Winning rolls
24 / 48
Losing rolls
24 / 48
Hit frequency
1 in 2
Unlike other games, this one is live, with each round having a host that entertains you. It is a mix of show and gambling. If you appreciate the host, do not forget to leave them a tip.
Before the spin, you pick one side: 2x, 4x, 8x, 16x, 24x, or 48x. The odds are inversely proportional to the multiplier chosen.
OUTCOME COUNTS AND PROBABILITIES
| Multiplier | Winning Rolls | Probability | Win Rate |
|---|---|---|---|
2x | 24 of 48 | 24/48 | 50% |
4x | 12 of 48 | 12/48 | 25% |
8x | 6 of 48 | 6/48 | 12.5% |
16x | 3 of 48 | 3/48 | 6.25% |
24x | 2 of 48 | 2/48 | 4.1667% |
48x | 1 of 48 | 1/48 | 2.0833% |
RTP EXAMPLES
If you bet on 2x, the win probability is 24/48 = 50%, so expected return is 2 * (24/48) = 1.00 (100% RTP).
Likewise:
4x:4 * (12/48) = 1.008x:8 * (6/48) = 1.0016x:16 * (3/48) = 1.0024x:24 * (2/48) = 1.0048x:48 * (1/48) = 1.00
All sides are modeled at 100% RTP, so house edge is 0%.
VOLATILITY / STD
At 100% RTP:
Higher chosen multipliers create higher volatility.
| Side | SD (units per round) |
|---|---|
| 2x | 1.000 |
| 4x | 1.732 |
| 8x | 2.646 |
| 16x | 3.873 |
| 24x | 4.796 |
| 48x | 6.856 |
First Casino
Live Economics
House edge: 0.000%
House Edge after Rakeback: 0.000%
STD: 1.00
Max Possible Win: 1.00x
Second Casino
Live Economics
House edge: 0.000%
House Edge after Rakeback: 0.000%
STD: 4.80
Max Possible Win: 23.00x
Shared Session