Expected Value vs Utility in Interviews
Expected value vs utility interview prep for risk preferences, bankroll constraints, skewed payoffs, and why highest EV may not be chosen.
Candidates preparing for risk, bankroll, and decision prompts.
Expected value averages payoff
Expected value summarizes the average payoff under a probability model. It does not automatically capture how a decision-maker feels about risk.
Utility captures preference
Utility is a way to model preference over outcomes, especially when losses, bankroll, or risk aversion matter.
Concrete example
A 50 percent chance to win 1,000 and a 50 percent chance to lose 900 has positive expected value, but a constrained decision-maker may still reject it.
Risk-neutral contrast
A risk-neutral model chooses by expected value. A utility-aware model may prefer a lower-EV but safer distribution.
Interview use
If the prompt asks only for fair value, compute EV. If it asks what you would choose, discuss risk and constraints.
Common mistakes
Candidates often treat positive EV as always optimal. State whether the prompt assumes risk neutrality.
Practice the pattern
Use the LeetQuidity curriculum and calibration to turn this topic into a focused practice plan.