Question

give the correct numerical response.
if the probability of an event e is \\( \frac { 2 } { 3 } \\), then the probability that e will not occur is ___.
if the probability of an event e is \\( \frac { 2 } { 3 } \\), then the probability that e will not occur is \\( \square \\).
(simplify your answer.)

Explanation:

Step1: Recall the probability formula

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

Step2: Substitute the given value

Given \(P(E)=\frac{2}{3}\), substitute into the formula: \(P(\overline{E})=1-\frac{2}{3}\).

Step3: Calculate the result

\(1-\frac{2}{3}=\frac{3 - 2}{3}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)