The explanation of the Monty Hall problem that worked for me

Say you pick door 1. There is a ⅓ chance the car is behind door 1 and a ⅔ chance it is behind door 2 or 3. Say the host reveals the goat is behind door 2. There is still a ⅔ chance that the car is behind door 2 or 3, but you know it is not behind door 2. Therefore, there is a ⅔ chance that the car is behind door 3. So, switch. If you value the goat more than the car Don’t switch. However, even…