Question

the probability that an event will happen is ( p(e)=\frac{36}{41} ). find the probability that the event will not happen.
the probability that the event will not happen is (square).
(type an integer or a simplified fraction.)

Explanation:

Step1: Recall the formula for complementary events

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

Step2: Substitute the given value of \(P(E)\)

Given \(P(E)=\frac{36}{41}\), then \(P(\overline{E}) = 1-\frac{36}{41}\).

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Answer:

\(\frac{5}{41}\)