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Post by theoncomingstorm on Jan 10, 2018 19:07:56 GMT
Perhaps tickingmask could help, but theoncomingstorm is a complete joke. I know you don't like Cash, but not liking him says nothing of his mathematical qualifications. This is a case where it would have been good if jwtutor had decided to join this board. He's much more skilled in statistics and probability than I am and my experience with proofs is limited beyond epsilon-delta proofs and proof by contradiction which would not be applicable in this case even if I recalled to exact problem or someone were to post it again. My background is mostly applied set theory, logic and historical mathematics. My Master's degree was a self-designed curriculum in Historical Mathematics which i was able to get approved mostly because of the uniqueness of the proposal and which I proposed because it provided the minimum qualifications I needed to be an instructor at the community college level. But Erjen isn't seriously interested in proof anyway because he's too mentally deficient to even comprehend a mathematical proof. I recall using proof by contradiction on several of the logic problems that AJ used to post on the old board and Erjen never had a clue what was going on. The way he reacts to any post where my name is mentioned reminds me of Ken Hamm trying to debate Bill Nye.
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Post by tickingmask on Jan 10, 2018 23:25:07 GMT
Ah, memories! Yeah, I was the one who raised the original thread in the first place. I originally worked it out the same way as Eva did (start with 2 passengers, then 3, then 4 etc.) but came up with a proper proof by induction when somebody (phludowin, maybe?) challenged me on it. I could dredge that up again if anybody's interested, but actually jwtutor came up with a much simpler one-line explanation why the answer has to be 50% regardless how many people board the plane so you don't even really need that.
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Post by Eva Yojimbo on Jan 11, 2018 1:31:41 GMT
I know you don't like Cash, but not liking him says nothing of his mathematical qualifications. This is a case where it would have been good if jwtutor had decided to join this board. He's much more skilled in statistics and probability than I am and my experience with proofs is limited beyond epsilon-delta proofs and proof by contradiction which would not be applicable in this case even if I recalled to exact problem or someone were to post it again. My background is mostly applied set theory, logic and historical mathematics. My Master's degree was a self-designed curriculum in Historical Mathematics which i was able to get approved mostly because of the uniqueness of the proposal and which I proposed because it provided the minimum qualifications I needed to be an instructor at the community college level. But Erjen isn't seriously interested in proof anyway because he's too mentally deficient to even comprehend a mathematical proof. I recall using proof by contradiction on several of the logic problems that AJ used to post on the old board and Erjen never had a clue what was going on. The way he reacts to any post where my name is mentioned reminds me of Ken Hamm trying to debate Bill Nye. Ah, well, that's OK then. I didn't figure Erjen was genuinely interested, but I was. ![:)](//storage.proboards.com/forum/images/smiley/smiley.png)
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Post by Eva Yojimbo on Jan 11, 2018 1:33:34 GMT
Ah, memories! Yeah, I was the one who raised the original thread in the first place. I originally worked it out the same way as Eva did (start with 2 passengers, then 3, then 4 etc.) but came up with a proper proof by induction when somebody (phludowin, maybe?) challenged me on it. I could dredge that up again if anybody's interested, but actually jwtutor came up with a much simpler one-line explanation why the answer has to be 50% regardless how many people board the plane so you don't even really need that. If it's too much trouble don't worry about it. Yeah, I couldn't remember if it was you, jwtutor, or someone else who posted the proof in the original thread. I was just thinking there has to be some kind of basic proof that's relevant to all similar problems where if a probability is the same with 3 and 4 passengers, it must be the same for anything more than that.
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Post by phludowin on Jan 11, 2018 7:01:47 GMT
Ah, memories! Yeah, I was the one who raised the original thread in the first place. I originally worked it out the same way as Eva did (start with 2 passengers, then 3, then 4 etc.) but came up with a proper proof by induction when somebody (phludowin, maybe?) challenged me on it. I could dredge that up again if anybody's interested, but actually jwtutor came up with a much simpler one-line explanation why the answer has to be 50% regardless how many people board the plane so you don't even really need that. Yes, I mentioned that it could be proven by induction; but I don't remember if I posted the proper solution. It had something to do with calculating the number of possible seating arrangements, which is 2^(n-1) where n is the number of passengers. This can be proven with induction. And I don't remember the one-line proof by jwtutor. But I remember the follow-up threads by Arlon.
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