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Mathematics
General Math
Can chatgpt accurately calculate expected lengths in Pascal's triangle?
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[QUOTE="Office_Shredder, post: 6845752, member: 53426"] I saw fresh posted a number for 4, but since there's no answer key here (or even a guarantee the problem is easily solved) I feel like we need a bit more. #5.) .I take a piece of string of length 1, and do the following k times: cut the string into a ratio of 2 to 1 (so a string of length 1 is cut into a string of length 2/3 and a string of length 1/3) I then throw out one of the pieces, leaving myself with a single piece that I can repeat this process on, until I have made k cuts. What is the expected length of the final piece of the string in terms of k, if a.) Each time I pick one of the two pieces to throw out randomly with equal probability b.) Each time I "grab" a random spot on the string and throw that piece out - i.e. I have a 2/3 probability of throwing out the longer pieceAlso, can someone explain what the issue with zorn's lemma is for the maximal normal subgroup? [/QUOTE]
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Can chatgpt accurately calculate expected lengths in Pascal's triangle?
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