MEDAL!!!

You are on a game show and given an opportunity to choose between three doors. Behind door #1 is a car and behind the other doors there are goats. You pick door # 1. The host, who knows what is behind the doors, opens door # 3, which hides a goat. He says to you, "Do you want to pick door # 2?" Should you change your original choice?

Think about the problem. Is it to your advantage to switch doors, keep the same door, or does it even matter?

Question

MEDAL!!!

You are on a game show and given an opportunity to choose between three doors. Behind door #1 is a car and behind the other doors there are goats. You pick door # 1. The host, who knows what is behind the doors, opens door # 3, which hides a goat. He says to you, "Do you want to pick door # 2?" Should you change your original choice? 


Think about the problem. Is it to your advantage to switch doors, keep the same door, or does it even matter?

anonymous · Answer

@shamil98

anonymous · Answer

Switch doors!

anonymous · Answer

Keep the same door!

shamil98 · Answer

I have no idea. My brain is a bit dead right now.

anonymous · Answer

Switch doors. The key is that the host knows which door the prize is behind.

If this is hard for you to grasp (it often is) think about if you had 100 doors and after you picked one the host opened the other 98.

anonymous · Answer

I would say switch doors because you already know what is behind both doors #1 and #3.

anonymous · Answer

than you guys!!!

anonymous · Answer

The original pick has a probability of 33.3% of being a car. But, after the host opens door #3, the probability of getting a car on door #2 increases, while the probability of door #1 remains the same. This is because the host knows that there is a goat in #2 or #3 and would not tell you if #1 has a goat. The full solution is at http://en.wikipedia.org/wiki/Monty_Hall_problem