Why Bet Selection Does Not Change EV
On a single-zero Roulette wheel, an even-money bet without La Partage wins with probability 18/37 and loses with probability 19/37:
EV = (18/37 × 1) − (19/37 × 1) = −1/37 = −2.70%
Any rule that selects Red, Black, Odd, Even, High or Low using only previous results retains the same expected value. With La Partage, expected value becomes −0.5/37 = −1.35%, but it still does not depend on the selection.

Conclusions on Roulette Bet Selection
If Roulette is treated as a system of independent and equally probable outcomes, traditional strategies based on delays, frequencies and sequences cannot change probabilities or expected value. No mathematical criterion based solely on previous spins can create an advantage where none exists.
The analysis changes when a measurable departure from the ideal model is identified: a mechanical defect, a non-uniform distribution, physical information about the current spin or an effectively repeatable regularity in dealer behavior.
Instrumental physical prediction or Visual Ballistics, the study of biased wheels and Dealer Signature are not selection systems based on historical sequences. Instead, they seek information potentially connected to the result through a causal mechanism and require data collection, statistical testing and practical validation.
The non-Pascalian conception also examines the possibility that mechanical and human factors introduce dependencies or structures that are not purely random. It remains a hypothesis to be tested case by case, not a general demonstration that an advantage exists.
A deviation can become exploitable only when it is measurable, sufficiently stable and large enough to overcome the house edge, prediction error and operating costs. Without these conditions, bet selection does not change mathematical expectation.
