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Toilet seat: up or down?

Up. According to statistics and probability theory (which have been revealed to us by Science), a toilet seat that is left down is more likely to get peed upon.

First let us make some assumptions:

  1. When a man enters a toilet to pee, there is a 50% chance that he will put the toilet seat up before peeing
  2. When the man pees when the toilet seat is down, there is a 80% chance that the seat will get peed on
  3. When the man pees when the toilet seat is up, there is a 20% chance that the seat will get peed on

So, if the toilet seat is always down when a man enters the toilet to pee:

  • there is a 50% * 80% = 40% chance that he will forget and will pee on the seat
  • there is a 50% * 20% = 10% chance that he will remember and still pee on the seat

So, the overall chance that the toilet seat will get peed on is 40% + 10% = 50%

But, if the toilet seat is always UP when a man enters the toilet to pee:

  • there is an overall chance of 20% that the seat will get peed on, because the seat is already up (so it doesn't matter whether the man remembers or forgets)
  Toilet seat always up Toilet seat always down
% chance of toilet seat getting peed on 20% 50%

It's amazing what one can learn from the revelations of Science!

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