Question

the probability that an event will occur is 0.1. what is the probability that the event will not occur? (1 point) 1 0.9 \\(\frac{1}{9}\\) 0

Explanation:

Step1: Recall the probability formula

The sum of the probability of an event occurring ($P(A)$) and the probability of an event not occurring ($P(\overline{A})$) is $1$. So, $P(A)+P(\overline{A}) = 1$.

Step2: Substitute the given value

Given $P(A)=0.1$. Substitute into the formula: $0.1+P(\overline{A}) = 1$.

Step3: Solve for $P(\overline{A})$

Subtract $0.1$ from both sides: $P(\overline{A})=1 - 0.1$.
$P(\overline{A})=0.9$.

Answer:

0.9