Hypothesis
It is uncanny, weird, and improbable, that I frequently open the communal toilet door at the exact same time that someone on the other side of the communal toilet door is opening it. This happens to me at least once a week, and usually more frequently.
Proposal
To use the rules of probability to test the accuracy of my hypothesis
Workings
How many men on my floor use the communal toilets?
15 in my office
15 over the hall
20 on the other side of the floor
= 50 men
How many times a day does the average man urinate?
If we go with once every 3.5 hours then, in a working day an average man urinates:
8.5hrs / 3.5 = 2.4 times a day
How many times does an average man defecate in a working day?
This is a bit harder to estimate but let’s go with 1 defecation at work per day per man.
How many instances of toilet take place in the communal toilets in a working day?
Urination: 50 men x 2.4 times per working day = 120
Defecation: 50 men x 1 time per working day = 50
Total visits = 170
How many seconds are there in a working day?
8.5 hrs x 60 minutes = 510 minutes
510 minutes x 60 seconds = 30,600 seconds
So, in a given second, the probability of somebody being in the communal toilets is:
170 / 30,600
Or
85 / 15,300
Or
17 / 3,060
Or
1 / 180
Which is 1 visit to the communal toilet every 3 minutes
If go to the toilet 3.4 times every working day then the probability of me being in the toilet in a given second is:
3.4 / 30,600
Or
1 / 9000
Which is 1 visit to the communal toilet every 150 minutes.
The probability of me opening the communal toilet door in the same second that someone else opens the toilet door is:
(1 / 180) x (1/9000) = 1 / 1,620,000
/2 because it can happen either entering or leaving the communal toilet = 1 / 810,000
Or
Once every 225 hours
Or
Once every 5.29 working weeks
Conclusion
It is weird that it happens to me every week
2 comments:
you just shit too much, but you already knew that.
Flaw: you left out the main reason why the men in your office are visiting the toilet.
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