Puzzles You Should Know – Ep.3 – Two Coins Puzzle (And 6 Real-Life/Software Examples)

Ever flipped two heads in a row and wondered what that really means? 🪙 In this video, we dive into the classic Two Coins Puzzle to reveal the logic behind Bayes’ Theorem — one of the most powerful tools for updating beliefs based on evidence.

Whether you’re debugging software, reading medical test results, or fighting spam, this concept will sharpen your decision-making skills — and it’s easier to grasp than you think!

📚 What You’ll Learn
👉 How Bayes’ Theorem works — no math degree required
👉 The full solution to the Two Coins Puzzle
👉 The intuition behind conditional probabilities
👉 Real-world examples where Bayes makes the difference

⏱️ Timestamps
⏰ 00:00 – Intro
🪙 02:07 – The Two Coins Puzzle
📊 04:24 – What Is Bayes’ Theorem?
🧠 07:53 – Intuition Behind Bayes (Gold Box Example)
🧮 12:58 – Solving the Puzzle Step by Step
📬 16:24 – Use Case 1: Email Spam Detection
🧪 19:34 – Use Case 2: Medical Testing
🕵️ 22:21 – Use Case 3: Fraud Detection
💻 24:09 – Use Case 4: A/B Testing
🛠️ 27:30 – Use Case 5: Debugging Failures
🤖 29:23 – Use Case 6: ML Model Accuracy
✅ 19:10 – Final Takeaways & Thanks