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. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?

Source: http://en.wikipedia.org/wiki/Monty_Hall_problem

**Solution:**

If you switch, you get the car with probability 2/3. So switching is always a good choice. Refer this MIT video lecture for great explanation. Refer online editable Monty hall simulation to play with how things change with multiple doors, prizes etc.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above