I found the best way to visualize this "problem" is to just imagine there is 1000 doors instead of the 3. If the host asks you to stay or switch, you switch because the chances are almost 100% that he will switch you to the winning door, since the odds of you initially picking the correct door are 1 in 1000.
I found the best way to visualize this "problem" is to just imagine there is 1000 doors instead of the 3. If the host asks you to stay or switch, you switch because the chances are almost 100% that he will switch you to the winning door, since the odds of you initially picking the correct door are 1 in 1000.