Quant interview prep guides

Brier Score Interview Intuition

Brier score interview intuition for squared-error probability scoring, calibration, expected penalty, and confidence mistakes.

Candidates discussing probability forecasts and calibration.

Squared error for probabilities

The Brier score measures squared error between a probability forecast and a binary outcome.

Forecast example

If you forecast 0.8 and the event happens, the squared error is (1 - 0.8)^2. If it does not happen, the error is (0 - 0.8)^2.

Expected penalty

A forecast should be evaluated by expected score over possible outcomes, not only by a single realized event.

Calibration connection

Well-calibrated probabilities tend to avoid systematic overconfidence or underconfidence across many forecasts.

Use in interviews

Brier score questions test whether you can turn a probability forecast into an expected scoring problem.

Common mistakes

Candidates often think a high-confidence forecast is good if it wins once. Scoring rules punish overconfident misses.

Practice the pattern

Use the LeetQuidity curriculum and calibration to turn this topic into a focused practice plan.