Maria Goeppert was a German physicist. She received the Nobel Prize in Physics in 1963 for the discovery of nuclear orbital structure.

She graduated in 1930 using in her thesis the calculus of probabilities to analyse the orbit of the electron. 

Talking about probabilities, do you know the problem of the three doors? It is a mathematical problem of probability that is inspired by a television game show. 

The problem is as follows: the contestants have to choose a door among three that are closed and the prize is to take what is behind the chosen door. It is known for sure that one of the doors hides a car, while behind the other two there is a goat. Once the contestants have chosen a door, they communicate it to the public and the presenter. The latter opens one of the two doors that have not been chosen and shows that behind it there is a goat. At that time, the option to change the door is given to the contestants. Should the contestants keep their original choice or choose another door? Is there any difference? 

Analyse the problem posed and find, in a reasoned way, the best possible solution for the contestants.