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Explain to me this probability puzzle
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<blockquote data-quote="Altamont Ravenard" data-source="post: 1689085" data-attributes="member: 14700"><p>A friend of ours asked us the same question yesterday. I was the only one of the group that wasn't convinced that the solution was 2/3 in your favor if you changed doors. I'd just like to point out that I'm the one with a statistics degree :\ Nevertheless, I was finally convinced when I realized, that, yes, if you begin the game with the strategy "I choose a door and I'll change afterwards", you have a 2/3 chance of getting it right. But if your strategy is "random", ie pick a door at random, and then pick at random if you change or not, your probability becomes 1/2. That is all. Did I mention that I have a crappy computer that won't let me erase typos?</p><p></p><p>The other thing is (I think) if you don't know, at the beginning of the game, what the actual game will be (ie that you'll get a chance to change doors, or that they'll reveal a goat door), your chances are 1/2. Of course, maybe I'm wrong.</p><p></p><p>AR</p></blockquote><p></p>
[QUOTE="Altamont Ravenard, post: 1689085, member: 14700"] A friend of ours asked us the same question yesterday. I was the only one of the group that wasn't convinced that the solution was 2/3 in your favor if you changed doors. I'd just like to point out that I'm the one with a statistics degree :\ Nevertheless, I was finally convinced when I realized, that, yes, if you begin the game with the strategy "I choose a door and I'll change afterwards", you have a 2/3 chance of getting it right. But if your strategy is "random", ie pick a door at random, and then pick at random if you change or not, your probability becomes 1/2. That is all. Did I mention that I have a crappy computer that won't let me erase typos? The other thing is (I think) if you don't know, at the beginning of the game, what the actual game will be (ie that you'll get a chance to change doors, or that they'll reveal a goat door), your chances are 1/2. Of course, maybe I'm wrong. AR [/QUOTE]
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