Reported at: 2 firmsSIG · WincentI’ve seen this in an interviewI’ve seen this
Four sealed boxes sit before you; exactly one hides \(\$100\), the other three are empty. You may open boxes one at a time, stopping as soon as you find the cash. Each peek costs \(X\) dollars.
What price \(X\) makes the game fair (i.e., zero expected profit for both sides)?