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<p>This doesn’t spoil the independence (multiplicativity) of Joe the Applicant’s outcomes at different schools. As long as Brown’s determination that an applicant is Harvard- or MIT-bound is based on its own locally available information and not information that depends on processes specific to Joe’s application process at Harvard or MIT, we will have multiplicativity for Joe’s outcomes at Brown, MIT and Harvard. If Brown hacks into the Harvard admission files, that could introduce correlation.</p>