In a certain game show, a contestant is presented with three doors. Behind one of the doors is an expensive prize, behind the others is nothing. The contestant is asked to choose a door. The game show host, Monty, then opens one of the other doors to reveal a that there is nothing behind it. The contestant is then asked if she/he would like to stick with the original door or switch to the remaining door.
What do you think is the best strategy? Should the contestant stick with their original door, switch to the other closed door, or is the probability of winning the same either way?
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