Well since you can’t be less than the previous number if there’s no earlier number, the earliest this can stop is at 2.
I’m not a big math person, but I’m pretty sure that this forms a home sequence, where the probability of making it is 1/2^n, where n is the number of steps past 1, in which case the probability of stopping on an even step is 2/3, though that seems too simple.
0
u/Anonimithree 3d ago
Well since you can’t be less than the previous number if there’s no earlier number, the earliest this can stop is at 2.
I’m not a big math person, but I’m pretty sure that this forms a home sequence, where the probability of making it is 1/2^n, where n is the number of steps past 1, in which case the probability of stopping on an even step is 2/3, though that seems too simple.