The conversation between human and AI assistant.
How do you solve the Monty Hall maths problem?
But why does this work?
It may seem counterintuitive, but it works because when you first choose a door, you have a 1/3 chance of choosing the door with the prize. This means that the other two doors have a combined probability of 2/3 of having the prize. When the host opens one of those doors to reveal a goat, he is essentially telling you that the other closed door has a 2/3 chance of having the prize. Therefore, by switching, you double your odds of winning from 1/3 to 2/3.