Indicator RV Sandbox

Blitzstein Method
Direct Visual Deck & Indicators
Trials: 0
DRAWN SEQUENCE / HAND 6 Cards
ACTIVE INDICATORS ($I_i = 1$ IF CONDITION MET)
0.00000
Sample Mean $\bar{X}$
0.88235
Exact Expected $E[X]$
0.88235
Absolute Error
Algebraic Proof & Convergence
$X = I_1 + I_2 + \dots + I_n \implies E[X] = \sum_{i=1}^n P(I_i = 1)$
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MONTE CARLO CONVERGENCE --- Theoretical | — Empirical
PROOF LOG & CONVERGENCE AUDIT
[System] Initialized Blitzstein Indicator Engine. Default: 6-Card Hand Rank Pairs.
[Math] Indicator count n = 15 pairs. P(Match) = 3/51 = 1/17.
[Math] Linearity of Expectation: E[X] = 15 * (1/17) = 15/17 = 0.88235...
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