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sysprog
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Yes. So if I didn't initially pick the car, then switching wins the car.WWGD said:
B The Monty Hall paradox/conundrum
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The Monty Hall problem presents a scenario where a contestant chooses one of three doors, behind one of which is a car and behind the others, goats. The intuitive belief that switching doors offers a 50:50 chance is challenged by the argument that the probability of winning actually increases to 2/3 if the contestant switches after one goat door is revealed. The discussion highlights a misunderstanding of probability, particularly in how prior knowledge affects outcomes, suggesting that the contestant's original choice does not retain its 1/3 probability after a goat is revealed. Critics argue that the host's action of revealing a goat does not change the initial probabilities but redistributes them among the remaining doors. Ultimately, the consensus supports the 2/3 probability for switching, emphasizing the importance of understanding conditional probability in this scenario.