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The tumbler betting strategy can win money because the outcome is generally two wins and one loss or two losses and one win.
Two wins and one loss, you can win 4 bets,
Two loses and one wins, only lose 2 bets.
Since there are more to win, but less to lose, there is a positive return in the end.
The biggest shortcomings and loopholes are,
Two wins and one loss are not the same as two loses and one wins.
So this method cannot reach 100% profit.