Bob climbs a mountain, He starts at 06.00 hrs at the bottom of the mountain.
He climbs with varying speeds and reaches the top of the mountain by noon-12.00hrs.
Having done enough mountaineering for a day, he decides to enjoy the scenery and take the remaining day off on the peak.
The next day, exactly at 06.00hrs sharp, he starts to climb down again using exactly the same path, which he had taken the previous day.
Again the speed of descent is totally random.
He manages to reach the bottom from where he started a day earlier exactly at 12.00 hrs noon.
Given the above, what are the chances of Bob being on the same point of the mountain at exactly the same time of day, on both days.
He climbs with varying speeds and reaches the top of the mountain by noon-12.00hrs.
Having done enough mountaineering for a day, he decides to enjoy the scenery and take the remaining day off on the peak.
The next day, exactly at 06.00hrs sharp, he starts to climb down again using exactly the same path, which he had taken the previous day.
Again the speed of descent is totally random.
He manages to reach the bottom from where he started a day earlier exactly at 12.00 hrs noon.
Given the above, what are the chances of Bob being on the same point of the mountain at exactly the same time of day, on both days.