Practice
Dice Game Expected Value
Solve step by step: reveal hints only when needed, then check your reasoning against the full walkthrough.
Problem set
Sample Variance by HandAnnualized Sharpe from Daily StatsConvert Covariance to CorrelationInterpret a Z-Score ShockTwo-Asset Portfolio VariancePosition Size from Risk BudgetKelly Fraction ScenarioInterpret Daily VaRTriangular FX Arbitrage CheckSharpe vs Sortino in Allocation ChoiceDice Game Expected ValueBoth Assets Down ProbabilityCoin Flip Stop RuleCard Draw: Ace then KingMonty Hall VariantCode: Rolling Sharpe (63-day)Code: Kelly Fraction FunctionCode: Max DrawdownCode: Historical VaR (95%)Code: Equal-Weight Rebalance Shares
PuzzleBeginner
You roll one fair die.
If outcome is 1-4, you lose $1.
If 5, you win $2.
If 6, you win $5.
What is expected value per play?
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Your answer