We present a rigorous probabilistic analysis of assembling Urza's Tron opening hands in Magic: The Gathering. Using multivariate hypergeometric distributions and inclusion-exclusion principles, we derive exact expressions for Natural Tron, Assisted Tron via Expedition Map, and Turn-3 Tron probabilities in seven-card opening hands, extending these results through comprehensive mulligan analysis. All theoretical predictions are validated through Monte Carlo simulations with one million iterations, confirming the analytical framework's accuracy.
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