Moe hired two separate trios of musicians to play at her tavern on Friday night. Each trio has one piano player, one guitar player, and one sax player. The guitar players have a 87% chance of showing up, the piano players have a 77% chance of showing up, and the saxophone players have a 45% chance of showing up. The two trios know all the same songs so individual musicians can substitute for each other. What is the probability that at least one trio will play on Friday night?