Half Peak

Half Peak is nothing more than an Alembert with a single and very helpful modification added: the half peak mechanism.

The Alembert formula is a pearl of simplicity: every time you win, you decrease your bet by one unit; every time you lose, you increase your bet size by one unit.

You may start anywhere.

Pick a number you think may be lucky, say 11, and make that your opening bet. IF the first bet wins, the second bet is 10. If the first bet loses, the second bet is 12.

Then just repeat the process over and over again until infinity.

Consider what happens with every pair of wins and losses. If you bet 11 and lose, then bet 12 and win, you’ve shelled out 11+12=23 but taken in 2×12=24, a profit of exactly one unit. Likewise if you win the first bet, then lose the second, you’ve rolled out 11+10=21, but of course you won 2 x 11 = 22 on the first bet, so again the profit is exactly one unit.