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?
