Here’s a fun puzzle I heard from nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqv4r523hzzwrcqrdvkqhc27whm0zu3axn7jsxgcawmw7u6qq2w9esqd3uyp (nprofile…3uyp)
Pick two points uniformly at random in a square. What is the probability that the line that contains both points intersects two opposite edges of the square, rather than two adjacent edges?