We want to disprove: So we construct: 🪙 Step 1: Define Independent Variables Let and be fair coins: Independence: Example: ⚙️ Step 2: Define Meaning: 📊 Step 3: Possible Outcomes latex = (0,0,0), (0,1,1), (1,0,1), (1,1,0)[/latex] Each has probability: 🔍 Step 4: Condition on 📌 Step 5: Conditional Joint Probability 📌 Step 6: Conditional Marginals … Continue reading How Conditioning Creates Dependence