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Consider a modified version of the Monty Hall problem. In this version, there are 8 boxes

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Consider a modified version of the Monty Hall problem. In this version, there are 8 boxes, of which 1 box contains the prize and the other 7 boxes are empty. You select one box at first. Monty, who knows where the prize is, then opens 6 of the remaining 7 boxes, all of which are shown to be empty. If Monty has a choice of which boxes to open (i.e. if the prize is in the box you chose at first), he will choose at random which one of the boxes to leave unopened.

i. Suppose that you have chosen Box 1, and then Monty opens Boxes 3 to 8, leaving Box 2 unopened. After we have observed this, what is the probability that the prize is in Box 1, and what is the probability that it is in Box 2?

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[Solved] Consider a modified version of the Monty Hall problem. In this version, there are 8 boxes

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Consider a modified version of the Monty Hall problem. In this version, there are 8 boxes

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