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Unformatted text preview: Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Fall, 2007) Quiz 3 Solutions (Wednesday, October 10) Consider a king, a prisoner, three closed chests, and a jewel. The jewel is hidden inside one of the three chests, the chest with the jewel inside it is known to the king but not to the prisoner. The prisoner is asked to select a chest. The king then opens one of the other two chests. If the chest selected by the prisoner has the jewel inside it, then the king opens either one of the two empty chests. If the chest selected by the prisoner is empty, then the king opens the other empty chest. The prisoner is then given a choice: keep the original selected chest, or switch to the other closed chest. Whichever choice is made, the king opens that chest, and the prisoner wins if the jewel is in the chest. Should the prisoner switch? Justify your answer as rigorously as you can....
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