The odds of a coin landing on its edge and staying there after being flipped are extremely low, roughly estimated at 1 in 6,000 to 1 in 10,000. This is based on physical experiments and statistical analyses, such as those conducted by researchers like Persi Diaconis, who studied coin dynamics. Factors like the coin’s shape, surface, and landing conditions (e.g., a soft or hard surface) affect the outcome, but the event is so rare that it’s often considered negligible in probability discussions. For context, you’re more likely to win a small lottery prize than to witness this happen.