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2021 ZeMC10 Problems/Problem 3

Revision as of 10:35, 23 November 2021 by Ihatemath123 (talk | contribs) (Created page with "==Problem== A treatment has a <math>90</math> percent success rate of curing those with CUBIC-27. If three patients with CUBIC-27 are selected at random, what is the probabili...")
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Problem

A treatment has a $90$ percent success rate of curing those with CUBIC-27. If three patients with CUBIC-27 are selected at random, what is the probability that exactly one of the three patients will be succesfully cured?

$\textbf{(A) } 0.9 \% \qquad \textbf{(B) } 2.7 \% \qquad\textbf{(C) } 8.1 \% \qquad\textbf{(D) } 72.9 \% \qquad\textbf{(E) } 99.9 \%$

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