1/2 for 2 doors
1/(3*2) = 1/6 for 3 doors
1/(4*3*2) = 1/24 for 4 doors
1/(5*4*3*2) = 1/120 for 5 doors and
1/(6*5*4*3*2) = 1/720 for 6 doors = reset
Seems about right.
Ofc you can reset within just 10 climbs or be still samu with 30 attempts like skit 😂