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?
Originally, the game show host has two doors and you have one.
Therefore, the game show host has a 2 to 1 advantage over you.
So, you want to switch with the host and then you will have the 2 to 1 advantage. (The fact that the host shows you a losing door does not change the odds; it just confuses the problem.)
If you keep your original door, you have a 1/3 probability of winning.
If you switch, you have a 2/3 probability of winning.
yes, because at first you only have a 33.3% chance of getting it right, but on the second attempt, you get a 58.3% of getting right
Originally, the game show host has two doors and you have one.
Therefore, the game show host has a 2 to 1 advantage over you.
So, you want to switch with the host and then you will have the 2 to 1 advantage. (The fact that the host shows you a losing door does not change the odds; it just confuses the problem.)
If you keep your original door, you have a 1/3 probability of winning.
If you switch, you have a 2/3 probability of winning.
Do you even get the question right? Because adding the odds that you will actually be able to open a box/door means a 1/100000000000000 chance that you'll even answer right. But let's just say that you somehow answered right. In the beginning, you have a 1/3 chance of winning. After the judge shows the empty box/door, you have a 1/2 chance. It's that simple. So geno3141 is WRONG!!!!