I have read two sources where the outcomes of the Monty Hall problem are triples of the form:
(initial guess, he curtain Monty opens, the curtain where the car is)
However, I think it should be:
(initial guess, the curtain Monty opens, switched curtain, the curtain where the car is)
Is the sample space consisting of these outcomes wrong? It seems that it is because I am getting that it doesn't matter if one switches curtains.