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A company has 110 people
*26 females
*6 of those females are engineers
*84 males
*30 of the males are engineers

There are two common bathrooms, one female, one male with three stalls each
Near engineering, there are also two unisex bathrooms (with doors/not stalls)

The average woman uses the bathroom 3 times daily (during the work day).
The average man uses the bathroom 3 times daily.
The average woman will spend an average of 3 minutes in the bathroom stall or 4 minutes in the doored bathroom
The average man will spend an average of 2.5 minutes in the bathroom stall or 3 minutes in the doored bathroom.

85% of the company takes a lunch break around 12 - 1 pm.

Assume that the chances of a woman or man that is not an engineer using the engineering bathroom is statistically insignificant.

What are the chances that the three-stalled female bathroom will have all three stalls full?

Comments

subjectivity
Sep. 11th, 2007 10:07 pm (UTC)
Re: Rob says...
I don't want to work the whole thing out, but I don't think this is correct because it doesn't take into account the likelihood of all those people peeing at the same time. I think it would be much less than 16%.

That would be saying that every sixth time you walk into the restroom all three stalls are busy, or once every other day, and I'm assuming it is much less often than that.

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