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<blockquote> <p>Bottom line - statistically, if you go in with less than 50% odds of being admitted, chances are you will be rejected. The more schools you apply to, the greater the chances of rejection - because the odds favor rejection.<<</p> </blockquote>
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<p>The odds favor rejection at each indvidual school, but if you apply to enough schools you can get to a reasonable chance of getting into ONE of them.</p>
<p>If you wish to speak statistically, consider 20 schools in which the odds of admission for a given student in each case are 25%. If these truly are the odds and he applies to say only 2 of the 20 schools, there is a pretty decent chance that he will be rejected by both and thus get into none of them. But if he applies to all 20 schools, the odds indicate he will likely be accepted by ~5 of them. That's what 25% chance means.</p>
<p>So the kid in this case will certainly pile up a lot of rejections, but he will also likely get into several of these low odds schools.</p>