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<p>Ehhh. </p>
<p>“Most people” who actually have any business applying to elite schools — i.e., they have stats that fit at/near/above the school’s stats profile — have a greater than 5% chance of getting in, based on the information they can provide about their academic achievements and how people in the past with similar achievements have fared. And all a person needs is >0% in order for multiple applications to make a difference.</p>
<p>And these decisions are indeed statistically independent. The forces that decide if Coin Number One flips heads are pretty similar to the forces that decide if Coin Number Two does instead. But that doesn’t mean that Coin Two’s result isn’t more-or-less independent of Coin One’s, since statistical independence is a function of, er, the occurrence of one event affecting the probability of the other.</p>
<p>Whether Duke accepts me or not does not, in itself, change my chances of getting into Yale. >.></p>