Quant interview prep guides

Expected Value Coin Games Interview Questions

Expected value coin games interview prep for fixed flips, waiting times, streak payoffs, geometric patterns, and independence mistakes.

Candidates practicing repeated trials, streaks, and payoff games.

Fixed-flip games

For a fixed number of flips, define the payoff for each count, streak, or event and average over the distribution.

Waiting-time games

If the payoff depends on time until heads or a pattern appears, geometric or state-based reasoning may be needed.

Concrete example

If a fair coin game pays 1 dollar for each head in four flips, the expected payoff is 4 x 1/2 = 2 dollars by linearity.

Streak payoffs

Streak games are usually not solved by treating streak events as independent. Use states or complements when overlap matters.

Fair price

Once expected payoff is computed, a fair entry price in the toy model is that expected payoff.

Common mistakes

Candidates often confuse number of heads with time until a head. Fixed-count and waiting-time setups use different distributions.

Practice the pattern

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