<p>^Well explained ThisCouldBeHeavn.</p>
<p>Using the formula you posted to explain my argument, by taking n-> infinity, (1-p)^infinty = 0. Therefore probability = 1-0 = 1 = 100%.</p>
<p>The key is the “at least” versus the “specific” word. Using your dice example, the probability of getting a 6 in a specific dice is always 1/6. The probability of gettin at least 1 is .99 (as you posted).</p>
<p>Going back to the subject of college admissions, I do believe that probabilities increase with the number of applications. Observing what happened with me and a few of my friends, the accepts, waitlists, and rejects were unpredictable and all over the map. Those people who sent more applications had more acceptances (and also more fin aid packages to compare 
).</p>