[theFIRMbss]

>Those with a deep understanding of randomness either avoid Las Vegas ...

Color me poor, but
I bet some day, someone with
stochastic rachets

("Parrondo games") makes
roulette a "game" of the past.
Now, lottery games . . .

[Doctor Stochastic]

Take a look at Astumian's Paradox. It's also interesting. There are two games I & II. Each one is biased towards a loss. If you alternate I and II then the result is biased towards a win. (You can also make random choices between I & II, even with a 33% bias one way or the other.)

One need not use the game sequence number as Parrondo's version does.

There some evidence that muscle contractions use a mechanism simlilar to Astumians.

It's also interesting that there are two commentaries (one Polish and one in something like "Physics Today") that review these games but get the math wrong.