Question

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. The host then says to you, "Do you want to pick door No. 2 instead of door No. 1?" Is it to your advantage to switch your choice?

Answer 1

I think it is to my advantage to switch my choice to door 2.

Explanation:

Under the normal circumstances, switching to another choice has increased one,s chances to getting a car which is 2/3 and just sticking to a choice gets one 1/3.

Since we already have a vague idea bout what is already behind doors 1 and 3, I think it is to my advantage to switch my choice to door 2.