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Dragon Phoenix
Introduction
Dragon Phoenix is pretty much the same thing as the Australian game Two Up. It is a simple game played with two coins. Instead of Heads and Tails, Dragon Phoenix has, obviously, a Dragon and a Phoenix. The game was spotted at the Venetian Macau in September 2011.
Rules
Players take turns tossing two coins at the same time. The player places one coin Dragon up and one Phoenix up and tosses them. I have never actually seen the game, so have difficulty visualizing it. Following are the betting options.
Dragon
The Dragon bet will win if two Dragons are tossed before two Phoenixes. However if one of each are tossed, known as "odds", five times in a row all bets lose. The following table shows the possible outcomes. The lower right cell shows a house edge of 3.125%.
Dragon Bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 31 | 0.484375 | 1 | 0.484375 |
| Loss | 33 | 0.515625 | -1 | -0.515625 |
| Total | 64 | 1 | -0.03125 |
Phoenix
The opposite of the Dragon bet. Player must get two Phoenixes before two Dragons or five odds.
Spinner's Bet - Dragon
The Spinner's Bet on Dragon is like a three round parlay bet on Dragon. In other words the player is betting that Dragon will win three rounds in a row. The payoff odds are 7.5 to 1, which is better than the 7 to 1 you would get with manually parlaying winnings. The following table shows the possible outcomes. The lower right cell shows a house edge of 3.40%.
Spinner's Bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 29791 | 0.113644 | 7.5 | 0.852327 |
| Loss | 232353 | 0.886356 | -1 | -0.886356 |
| Total | 262144 | 1 | -0.034029 |
Spinner's Bet - Phoenix
The opposite of the Spinner's Bet on Dragon. Phoenix must win three consecutive rounds and a win pays 7.5 to 1.
Odds
The Odds bet wins if the coins land on one Dragon and one Phoenix five times in a row. The chances of any single flip resulting in one of each is 1/2. So the probability of this happening five times in a row is (1/2)^5 = 1/32. Wins pay 25 to 1. The following table shows a house edge of 18.75%.
Odds Bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 1 | 0.03125 | 25 | 0.78125 |
| Loss | 31 | 0.96875 | -1 | -0.96875 |
| Total | 32 | 1 | -0.1875 |