Question: Three distinct integers are chosen randomly from 1 to 50. Let $w$ be the smallest, $x$ the middle, and $y$ the largest. What is the probability that $x - w > y - x$?

Sun, 03 May 2026 22:00:26 +0000

**Why Math in Numbers Sparks Curiosity: The Hidden Symmetry of Random Choices** In a world increasingly shaped by data, probabilities often hinge on subtle patterns—ones that are easy to overlook but deeply revealing. One such puzzle quietly draws interest: When three distinct integers are picked randomly from 1 to 50, with $w$ as the smallest, $x$ the middle, and $y$ the largest, what’s the chance that $x - w > y - x$? This isn’t just a number game—it’s a gateway into understanding balance, distribution, and hidden order. This question reflects growing curiosity about random sampling and statistical symmetry, especially among users interested in trends, data analysis, and intuitive probability—key components behind modern digital content. Mobile users scrolling on Discover are increasingly drawn to digestible explanations of such concepts, seeking both clarity and relevance to real-world decision-making. ### Cultural and Digital Context: Why This Matters Now