Question

martha believes that the probability of her being selected for the lead role in the play is $\frac{4}{11}$. what is the probability of her not being selected? $\frac{1}{11}$ $\frac{4}{11}$ $\frac{7}{11}$ $\frac{11}{4}$

Explanation:

Step1: Use the probability formula

The sum of the probability of an event happening \(P(E)\) and the probability of it not happening \(P(\overline{E})\) is \(1\). So \(P(\overline{E})=1 - P(E)\)

Step2: Substitute the given value

Given \(P(E)=\frac{4}{11}\), then \(P(\overline{E}) = 1-\frac{4}{11}\)

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Answer:

\(\frac{7}{11}\) (corresponding to the third option)