Original sentence: A different approach to solving the problem, commonly used in mathematical sources, is to treat 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.The popular solutions serve as a way of understanding why the probability of gaining the car after switching is 2/3 and not 1/2.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
Edited sentence: The popular solutions  serve as a way of understanding why the probability of gaining the car after switching is 2/3 and not 1/2