Problem Statement
A gigantic pie is split amongst 100 guests. The first guest gets 1% of the pie. Then the second guest gets 2% of the remaining pie. Then the third guest gets 3% of the remaining pie, and so on, until the last guest gets 100% of the remaining pie.
Which guest gets the largest piece of pie?
Usually, the puzzle focuses on identifying the guest who receives the largest piece of the pie. However, out of curiosity, I delved deeper—visualizing how the pie was divided and analyzing how many guests received the majority of it.
Analysis Made
- 10th Guest will get maximum split of 6.28%
- 100th Guest will get minimum split of 9.33e-41 %
- First 24 guests(24% of Guests) will get atleast 1% split
- First 24 guests(24% of Guests) will get 96.24% of the pie
- Other guests(76% of Guests) all together will get only 3.76%