“The probability of both events = product of probabilities” only if independent. In combinatorial constructions, always verify.
If you’ve ever looked at an International Mathematical Olympiad (IMO) problem and felt your brain do a double backflip, chances are it was a combinatorics question. Unlike algebra or geometry, where formulas and theorems provide a clear roadmap, combinatorics problems often feel like puzzles wrapped in riddles. Olympiad Combinatorics Problems Solutions
Using the recurrence relation for Fibonacci numbers, we can write: “The probability of both events = product of