Combining cross-completion probability with an xG reward metric via a tunable risk-tolerance parameter (λ) to recommend the optimal delivery zone given a coach's situational risk appetite. Conservative (high λ) favors completion probability; aggressive (low λ) favors xG potential. The key insight: 33% cross-completion rate isn't inherently wasteful — the question is where to place them, and that depends on risk tolerance. Crosses that lead to shots two actions later are undervalued by immediate-shot-chain metrics.
For each cross situation: compute P(completion) and E(xG|completion) for multiple target zones. Combined score = λ × P(completion) + (1-λ) × E(xG). Vary λ by game state: protecting a lead → high λ; chasing a game → low λ. The optimal target zone shifts with λ.
Crosses have a league-average completion rate of ~33%, which sounds wasteful. But a 33% cross to the far post that generates 0.12 xG when completed is better expected value than a 60% cross to the near post that generates 0.02 xG when completed: 0.33 x 0.12 = 0.040 vs 0.60 x 0.02 = 0.012. Raw completion rate is the wrong metric for evaluating crossing — expected value per cross (completion probability x reward if completed) is the correct one. Additionally, crosses that lead to shots two actions later (second-ball conversions) are undervalued by immediate-shot-chain metrics.