[quote]We have a contestant we’ll call him ‘TheBreeze’ aka
‘TB’.
TB choses door #1, the probability that TB chose the door with the car is 1/3 and, the probability that it is behind one of the other doors is 2/3. By showing TB one of doors #2 or #3 which does not hide the car but a goat (#2 for instance), the host is giving TB an good idea of what is behind those two doors. The probability is still 2/3 that one of them hides the car, but now you know which of the two it would be: Door 3.
The probability is still only 1/3 that the car is behind Door 1, but 2/3 that it is behind Door 3.
