Question

section 5.1 homework
score: 7/10 answered: 7/10
question 8
if the probability of an event is \\( \frac { 29 } { 74 } \\), what is the probability of the event not happening?
write your answer as a simplified fraction.
the probability of the event not happening is
question help: video written example message instructor post to forum

Explanation:

Step1: Use the probability formula

The probability of an event \(P(E)\) and the probability of the event not happening \(P(\overline{E})\) satisfy \(P(E)+P(\overline{E}) = 1\). Given \(P(E)=\frac{29}{74}\), then \(P(\overline{E})=1 - P(E)\).

Step2: Calculate the value

Substitute \(P(E)=\frac{29}{74}\) into the formula: \(P(\overline{E})=1-\frac{29}{74}=\frac{74}{74}-\frac{29}{74}=\frac{74 - 29}{74}=\frac{45}{74}\).

Answer:

\(\frac{45}{74}\)