Question

1. how is the probability of an event not occurring calculated?

a. $1 - p(e)$
b. $p(e)-1$
c. $1 + p(e)$
d. $p(e)\times2$

Explanation:

Step1: Recall probability concepts

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

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

Subtract \(P(E)\) from both sides of the equation \(P(E)+P(\overline{E})=1\). We get \(P(\overline{E})=1 - P(E)\).

Answer:

A. \(1 - P(E)\)