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March 14, 2019

This Challenge Problem is a little dirtier than the last one.

Let us start with a series of glass windows which are randomly splattered with mud. In fact each window has 40% of its surface covered with mud. On the average how many windows would you have to stack together to obscure at least 95% of the sunlight incident on the stack of windows? Assume that the splattering patterns are completely random and are not related to any of the patterns on the other windows.

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