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?

## Comments

Sort by:

TopNewestYes. Since the probability of choosing a goat in the first try is 2/3 , since the other goat will be revealed, behind the other door should be the car. This famous problem as far as i know is The Monty Hall Problem. – Alain Caesar Torre · 3 years, 1 month ago

Log in to reply

Hallparadox – Priyansh Sangule · 3 years, 1 month agoLog in to reply

– Ivan Koswara · 3 years, 1 month ago

Where the same article also says that the question as posed is incomplete (what if the host knows Door 2 has a goat and hence offering the option; never offering the option if the player originally picked a goat?). So there is no satisfying answer for this problem as stated. Only after clarifying further that the problem can be solved.Log in to reply

Probability of finding a car in door 2 is 2/3 whereas in door 1 is 1/2 . Apply the theory of probability whenever options seems to be close – Rahul Nahata · 3 years, 1 month ago

Log in to reply