Ahhh, Rapidash Races. I once managed to win 7 of those horse race thingies of in a row ^_^. And it's a very good suggestion for a casino.
Anyway, I'm gonna develop it if that's OK, since at this point you could bet on all 4, and other crazy things (If not, tell me):
Players bet 2, 4, 6, 8 or 10 points on 1 Rapidash. The higher the bet, the higher the payout.
Each horse has a different chance to win.
Rapidash A wins 50% of the time, and for every 2 points paid, you get 3 back. A 2 point bet is 3 point return, a 4 point bet is 6 point return, etc. (After 10 races with 1 person placing 2 points per bet, casino gains 20 points, and pays out an average of 15 points)
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Rapidash B wins 30% of the time, and for every 2 points paid, you double your money. (After 10 races at 2 points per bet by one person, 20 is paid in and an average of 12 points would be paid out)
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Rapidash C wins 19% of the time, and for every 2 points paid, you get triple your money, but then take 1. If x is the bet and y is the payout, the formula is y = 3x -1 (2 point bets give 5, 4 point bets give 11, 6 point bet pays 17, 8 point bet pays 23, 10 point bet pays 29)
On average, after 10 races for 1 person with a 2 point bet, 20 points are taken in and approximately 10 points are paid out in return (Average). After 10 for 1 person with a 4 point bet, 40 points are taken in and 22 are paid out on average.
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Rapidash D wins just 1% of the time. A win will earn you a flat 150 Points.
(Average gain over 100 races is 50)
As you can see, the casino clearly wins, but it's possibble to fine tune your bets. As it should be.
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Gonna add to that point thing when I get the time. Perhaps I should be able to make 1 payment into a "casino bank", which is kept track of in this thread, so I don't have to keep going to the bank to play. And, money could be swapped easily between the 2, except limiting the number of times.