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The 107 pages that link to Expected value, each with the reason it gives.

• Negative binomial distributionRelated: It gives the distribution's average number of failures before the target is reached.

• Source coding theoremRelated: Fidelity constraints commonly bound expected distortion across source outcomes.

• St. Petersburg paradoxRelated: Its sum over the lottery’s possible payouts diverges, producing infinite expected monetary value.

• BetrayalRelated: A breach counts as betrayal when conduct violates an anticipated duty or assurance.

• BluffingRelated: A player weighs the payoff from a successful bluff against the cost of being called.

• CasinoRelated: It explains why a game can be fair on each round yet profitable for the casino over time.

• Concentration inequalityRelated: Many inequalities measure departures from this central value.

• Golf course managementRelated: Choosing a shot often means weighing a likely safe result against a costly miss.

• Hoeffding's inequalityRelated: The inequality measures deviations from the sum’s expected value.

• Integrable functionRelated: A random variable has finite absolute expectation exactly when its magnitude is integrable.

• Weighted averageRelated: It is a weighted average with probabilities as the weights.

• PromiseRelated: A promise gives its recipient a specific expectation about future conduct.

• Five-card drawRelated: It helps evaluate whether a draw or bet is profitable over time.

• Poisson limit theoremRelated: The product of trial count and success probability is the binomial mean held fixed.

• Poker strategyRelated: It provides a common measure for comparing bets, calls, folds, and raises.

• Iterated integralRelated: For several continuous variables, expectation is computed by integrating against their joint density.

• Shannon's source coding theoremRelated: The theorem compares entropy with expected code length, not each individual length.

• Discrete uniform distributionRelated: For equally likely numeric values, the expected value is their ordinary arithmetic mean.

• Draw pokerRelated: Comparing possible draws by expected value clarifies whether discarding is worthwhile.

• Hermite–Hadamard inequalityRelated: The inequality bounds the expectation of a convex function of a uniform random variable.

• Regression toward the meanRelated: The phenomenon concerns the expected next measurement, not a guarantee about any particular case.

• Snakes and LaddersRelated: It helps calculate how many turns a player can expect to need to finish.

• Wiener–Khinchin theoremRelated: Autocorrelation is defined using an expectation over the process.

• CrapsRelated: It quantifies the average return built into each craps wager.

• Game of chanceRelated: It summarizes the average monetary result of repeated plays.

• Slot machineRelated: Expected value explains why a game can pay frequently yet remain unfavorable over time.

• Von Neumann–Morgenstern utility theoremRelated: Expected utility applies this averaging operation to utility, rather than directly to outcomes.

• Continuous uniform distributionRelated: Symmetry places the mean at the interval’s midpoint.

• De Moivre–Laplace theoremRelated: The binomial count is centered at its expected value before scaling.

• Kolmogorov's inequalityRelated: The mean-zero condition centers each increment before the sums are controlled.

• Kolmogorov's two-series theoremRelated: Convergence of the expectations controls the deterministic drift of the partial sums.

• Le Cam's theoremRelated: The Poisson approximation uses the sum's expected value as its parameter.

• Limits of integrationRelated: For a continuous variable, its density is integrated across the variable's range.

• Popoviciu's inequalityRelated: The variance is computed relative to this central value.

• Bienaymé's identityRelated: Variance is defined through expectation, which also expands the squared sum.

• Correlation function measurementRelated: The theoretical correlation is defined using means and expected products.

• DisappointmentRelated: Disappointment begins when an expected outcome fails to occur.

• Dittert conjectureRelated: The conjectured extremum concerns an average over all sampled vertex configurations.

• Holland's schema theoremRelated: The theorem bounds an expected count, not the count in every realized generation.

• Mega MillionsRelated: It provides a framework for comparing a ticket’s cost with its possible payouts.

• Sample mean and covarianceRelated: The population mean is the expectation that the sample mean estimates.

• War (card game)Related: It offers a way to quantify expected game duration or cards won.