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Having dredged the mathematical archives I'm no longer certain if its relevant that Monty knew where the prize is. Assume he did. My head hurts. Edit again - It definitely IS relevant that Monty knows the location. Apologies for earlier incorrect statement.

In actual fact it doesn't matter whether Monty knows or not. We are where we are, with one door having been revealed not to have the prize. Monty may have opened the door with the prize and the game would have been over, but he didn't, and here we are with two closed doors, one of which hides...

Yes he does know where the prize is.

Following on from the success of the bodmas thread. Here's a probability problem for the maths geniuses. The solution is on the face of it, surprising, and when it first came out, baffled many a statistical brain even though its very simple. It's quite famous so if you know it, please don't...