This is the Momath mindbenders January 2026 problem. The problem goes as follows: A ladybug alights on the 12 of a cuckoo clock. Whenever the clock strikes, she moves randomly to a neighboring number (so the first time, she moves to the 1 or the 11 with equal probability). Suppose the ladybug continues this process until she has been to all of the numbers at least once. What is the probability that the last new number she visits is 6?
Credits to momath for the problem. This can be used to predict the probability or just for fun. https://www.youtube.com/shorts/t3jZ2xGOvYg (Note: must be a scratcher to use cloud variables)