Original sentence: (2010), also does not specify particular doors.A more complex approach to solving the problem, popular among some mathematicians, treats the problem it as a conditional probability problem—explicitly addressing the conditional probability in the example case where the host opens Door 3 after the player initially chooses Door 1.In mathematical terms, are we interested in an unconditional or a conditional probability.In the controversy which followed Marilyn vos Savant's popularization of the problem, she herself later clarified her intention,  saying that the words "say Door 1" and "say Door 3" were meant to help the reader visualise the probem; they were not meant to be part of the problem statement.Indeed, Craig Whitaker's original letter, reproduced in Morgan et al.More precisely, there are two main ways to convert vos Savant's verbal description into an unambiguously stated probability problem with that numerical answer.Most sources present solutions based on simple probabilistic reasoning comparing the possible outcomes of always switching to the outcomes of never switching, not taking into account the knowledge of which door has been opened.The main point of difference concerns whether we should be interested in the overall probability that switching wins the car, of whether we should be interested in the probability that switching wins the car in the specific case that the player has chosen Door 1 and the host has opened Door 3.There are multiple approaches to solving the Monty Hall problem giving the result that players who switch have a 2/3 chance of winning the car.What the answer precisely means depends on the chosen precise problem formulation
Edited sentence: A different approach to solving the problem, commonly used in mathematical sources, uses the knowledge of the number of the opened door, and hence treats it as a conditional probability problem—explicitly addressing the probability in the example case where the host opens Door 3 after the player initially chooses Door 1.Most popular sources present solutions based on simple probabilistic reasoning comparing the possible outcomes of always switching to the outcomes of never switching, not taking into account the knowledge of which door has been opened.There are multiple approaches to solving the Monty Hall problem all giving the result that players who switch have a 2/3 chance of winning the car