Solving the Monkey and coconuts problem
paddy3118.blogspot.com
paddy3118.blogspot.com
I'm pretty sure I know how it's done now, but I haven't had the headspace to deal with it yet.
(The video does do an analytical solution though).
WITHOUT USING A CALCULATOR!
How many chocolate chips must one mix into the dough used to bake one hundred thousand chocolate chip cookies, such that ninety-eight percent of the cookies contain at least two chips?
I don't recall the precise numerical answer but I do know how it's done; I solved that problem in a final exam at Caltech in less than fifteen minutes.