What the primary record establishes

Log loss scores the probability assigned to the actual outcome. If Yes has probability p, the loss is −ln(p) when Yes occurs and −ln(1−p) when No occurs. Lower average loss indicates a better score. Gneiting and Raftery on proper scoring rules ↗

What the distinction changes

Suppose seven of ten outcomes are Yes. Two models always predict Yes, one at 70% and one at 99%. Both pick the winning side seven times, while their average log losses are about 0.611 and 1.389 respectively.

What to check before drawing a conclusion

Evaluate predictions captured before resolution at the same cutoff. An incorrect 0% or 100% forecast gives infinite theoretical loss. If probabilities are clipped for computation, define the limits consistently in advance. The score evaluates forecasts, while trading results additionally depend on prices and execution.