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Difference between revisions of "2021 ZeMC10 Problems/Problem 3"

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Revision as of 11:35, 23 November 2021

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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