Brilliant.com sends out monthly emails. These include some information about my activty since the past email, but more importantly, puzzles at the bottom of each email. for July 2023, the puzzle problem reads as follows:
Congratulations! You won free one-way tickets for life on Somewhere Air. The only problem? Each trip, your destination is chosen at random. Somewhere Air has service to 25 cities, including yours. Each city has direct flights to every other city. Once you begin jet-setting, what's the average number of flights you’ll take before you get back home?
My solution, detailed and plotted in the Python file, is also explained on their page, linked below, where I am shouted out for being the first to get the solution correctly. https://brilliantorg.notion.site/brilliantorg/July-Puzzle-Solutions-0654bcbfdf6a406e8b47366d7190605d