Question

the probability that an event will happen is ( p(e) = 0.28 ). find the probability that the event will not happen.
the probability that the event will not happen is (square).
(simplify your answer.)

Explanation:

Step1: Recall the probability formula

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

Step2: Solve for \(P(\overline{E})\)

Given \(P(E)=0.28\), we substitute into the formula \(P(\overline{E})=1 - P(E)\).
So \(P(\overline{E})=1 - 0.28\).

$$P(\overline{E})=0.72$$

Answer:

\(0.72\)