7 prisoners stand in a line such that they can only see the prisoners in front of them. Each prisoner randomly gets either a great haircut or bad haircut (without them knowing which). Starting from the back of the line, each prisoner must **either** guess her own hair situation or pass.

In order to win, **at least one prisoner must guess correctly, and no prisoners can guess incorrectly**.

They can strategize in advance. What is the optimal strategy? How likely is it to work?

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