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(100*(p^2) + 99 + 98*((100-p)^2) + 0*((100-p)^2)) / (2*((100-p)^2) + 1 + (p^2) ) = 99
(100*(p^2) + 99 + 98*((100-p)^2) + 0*((100-p)^2)) / (2*((100-p)^2) + 1 + (p^2) ) = 99
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