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French Roulette

The wheel of French roulette consists of 37 numbers from 0 to 36. The next table contains the indexes of every natural bet.

Bet Win Probability Player edge
  Even Odd 1 18/37 48.65% -1/37 -2.703%
  Red Black 1 18/37 48.65% -1/37 -2.703%
  High Low 1 18/37 48.65% -1/37 -2.703%
  Dozen 2 12/37 32.43% -1/37 -2.703%
  Column 2 12/37 32.43% -1/37 -2.703%
  Six-Line 5 06/37 16.22% -1/37 -2.703%
  Corner 8 04/37 10.81% -1/37 -2.703%
  Street 11 03/37 08.11% -1/37 -2.703%
  Split 17 02/37 05.41% -1/37 -2.703%
  Straight 35 01/37 02.70% -1/37 -2.703%

You can see that a player loses about 2.703% of his money on any bet. It is clear that any composite bet has the same expected result. Let's see, for example, the following popular call bets:

  Voisins de Zero Tier Orphelins Zero Spiel
 Bet size, chips 9 6 5 4
 Covered numbers 17 12 8 7
 Win probability 45.95% 32.43% 24.32% 18.92%
 Average win 111.76% 200.00% 300.00% 414.29%
 Player edge -2.703% -2.703% -2.703% -2.703%

Some casinos have the next attractive rule. Once the wheel stops on zero the players lose only half on any even money bet. It increases the player edge to -1/74 (-1.35%), but still casino has the advantage.


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