TED-Ed: Can you solve the prisoner boxes riddle? - Yossi Elran

A band must find their instruments in randomly placed boxes to avoid being dropped by their label. Each member can open five boxes, but cannot communicate findings. The drummer devises a strategy with a 35% success rate, involving following a sequence of boxes starting with the one showing their instrument. This method restricts searches to loops containing their instrument, improving odds over random guessing. The video explains the strategy's effectiveness and how to calculate success odds, demonstrating with a simplified case. As the number of musicians increases, the odds approach 30%.

How does the linked sequence strategy work in terms of finding the instruments?

What are the odds of success if there were 1,000 musicians using the drummer's strategy?