Question: Suppose you are applying to graduate schools. Your chances to be admitted to each one school are \(30 \%\) and are the same for any school. To how many different schools you need to apply if you want your chances to be admitted to at least one school to be above \(90 \%\). If your chances to be admitted to each one school are \(10 \%, 20 \%, 30 \%, 40 \%, 50 \%\) to how many schools you need to apply in each case to guarantee \(95 \%\) confidence of being admitted to at least one.

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