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Is the five-number bet in American roulette a bad bet?

Yes. The top line (0, 00, 1, 2, 3) is the worst bet on the double-zero layout. Every other bet there costs less.

The five-number bet wins 13.16% of spins, pays 6 to 1 and has a 7.89% house edge. Every other bet on a double-zero wheel: 5.26%.

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Every bet on a double-zero layout

BetNumbersPaysChanceHouse edge
Straight up (one number)135 to 12.63%5.26%
Split (two numbers)217 to 15.26%5.26%
Street (three numbers)311 to 17.89%5.26%
Trio (a zero and two numbers)311 to 17.89%5.26%
Corner (four numbers)48 to 110.53%5.26%
Top line (the zeros and 1, 2, 3)56 to 113.16%7.89%
Six line (six numbers)65 to 115.79%5.26%
Column (12 numbers)122 to 131.58%5.26%
Dozen (12 numbers)122 to 131.58%5.26%
Red/black, odd/even, 1-18/19-36181 to 147.37%5.26%

Why

Roulette payouts follow one formula: a bet on n numbers pays 36/n − 1 to 1. For five numbers that is 6.2 to 1, but the bet pays 6 to 1, and the missing fraction is pure extra edge on top of what the zeros already take. On a single-zero wheel the matching bet covers four numbers (0, 1, 2, 3), pays the full 8 to 1 and costs the same as everything else.

The top line on other wheels

WheelNumbersPaysChanceHouse edge
Single zero (European)48 to 110.81%2.70%
Double zero (American)56 to 113.16%7.89%
Triple zero65 to 115.38%7.69%

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