Hi guys,
I was just running a few simulations on the commercial viability of running a satoshi's dice style bitcoin gambling site. I wanted to share my results about the viability of the various different betting odds.
Assuming:
* 2% house edge
* initial bankroll of 1000 BTC
* between a random bet size between 0.01% and X% of house bankroll for each bet
Here are the results of amount of bets taken in order to reach 100% return on investment (for the developer/investor, not the player). In each case the maximum bet amount was adjusted to keep the volatility of results similar.
240/256 odds, 93.75% chance of winning, payout 1.046x, 0.01% -> 1% house bankroll bet size:
7000 bets200/256 odds, 78.13% chance of winning, payout 1.255x, 0.01% -> 0.5% house bankroll bet size
15,000 bets128/256 odds, 50% chance of winning, payout 1.961x, 0.01% -> 0.1% house bankroll bet size
125,000 bets64/256 odds, 25% chance of winning, payout 3.92x, 0.01% -> 0.075% house bankroll bet size
275,000 betsAs you can see, the maximum allowed bet size has to reduce fairly drastically to keep volatility in check, which sends the required number of bets sky-rocketing as odds of winning decrease. Strangely counter-intuitive results.
The question is, how can sites like justdice.com, satoshiroulette.com and satoshidice.com offer odds even less than 25% and stand any chance of making their money back (considing the number of required bets) with edges less than 2%?
Cheers, Paul.