Glossary

Expected Value (EV)

The average outcome per bet calculated across an infinite number of rounds — the mathematical return you expect to receive per unit wagered, accounting for all possible outcomes and their probabilities.

Expected value is the number that tells you — with mathematical certainty — whether a bet is favorable or unfavorable over the long run. In all crash games, EV is negative for the player. Understanding this doesn’t make crash games less enjoyable, but it changes what “winning” realistically means.

The formula

EV = Σ (probability of outcome × value of outcome)

For a crash game bet at target M:
EV = P(survive to M) × M  −  1
   = (RTP / M) × M  −  1
   = RTP − 1

At 97% RTP:

EV = 0.97 − 1 = −0.03

Every bet returns -$0.03 on average per $1 wagered. This is true at any multiplier target. The EV per bet is identical whether you target 1.5x or 500x.

What negative EV means in practice

Negative EV does not mean you cannot win. In the short run, variance dominates:

A 20-round session can easily produce +50% or -50% results regardless of EV
The negative EV only manifests clearly over hundreds or thousands of rounds

The practical implication: the longer you play, the more your results converge toward the negative EV. Short sessions have higher variance and higher chance of finishing positive.

The session-level EV

For a complete session:

Expected session loss = total_wagered × house_edge
                      = (rounds × bet_size) × 0.03

100 rounds × $10 × 3% house edge = $30 expected loss. This is the cost of the entertainment, not a prediction of a specific session outcome.

Why no strategy changes EV

Every “system” — Martingale, D’Alembert, Fibonacci, fixed target — produces the same EV per bet: (RTP − 1). Systems change the variance profile (how wins and losses are distributed) but cannot change the underlying EV because they cannot change the crash point distribution.

RTP — the number EV is derived from
House Edge — the negative component of EV
Variance — why short-run results differ from EV