The Monty Hall Problem

Here it is folks, the latest puzzle:

Suppose you’re on a game show and you’re given the choice of three doors. Behind one door is a car; behind the others, goats. The car and the goats were placed randomly. You get to choose a door; and that door remains closed until the end.  Monty Hall, who knows what is behind all the doors , now has to open one of the two remaining doors, one which has a goat.  After this opening, you are given the choice: to switch your selection to the third remaining un-opened door, or keep the one you originally selected. What is you choice, and  why?

Comments welcomed and encouraged.

dayday

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