"And Po'mi has just asked: "Why should the subjective probability of finding ourselves in a side of the split world, be exactly proportional to the square of the thickness of that side?"When the initial hubbub quiets down, the respected Nharglane of Ebbore asks: "Po'mi, what is it exactly that you found?" "Using instruments of the type we are all familiar with," Po'mi explains, "I determined when a splitting of the world was about to take place, and in what proportions the world would split. I found that I could not predict exactly which world I would find myself in—" "Of course not," interrupts De'da, "you found yourself in both worlds, every time -" "—but I could predict probabilistically which world I would find myself in. Out of all the times the world was about to split 2:1, into a side of two-thirds width and a side of one-third width, I found myself on the thicker side around 4 times out of 5, and on the thinner side around 1 time out of 5. When the world was about to split 3:1, I found myself on the thicker side 9 times out of 10, and on the thinner side 1 time out of 10.""
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Eliezer Yudkowsky, "Where Experience Confuses Physicists" (April 25, 2008)
https://en.wikiquote.org/wiki/Born_rule
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