Question

use the given probability of each event to find the probability of the complement.
p(red) = 25%
p(not red) =
p(not green) = 2/3
p(green) =

Explanation:

Step1: Use the formula for the probability of the complement

The formula is \(P(\text{not }A)=1 - P(A)\).
For \(P(\text{green})\), since \(P(\text{not green})=\frac{2}{3}\), then \(P(\text{green})=1-\frac{2}{3}\).

$$P(\text{green})=\frac{3 - 2}{3}=\frac{1}{3}$$

Step2: Use the formula for the probability of the complement for the red - related probability

Given \(P(\text{red}) = 25\%=\frac{1}{4}\). Using the formula \(P(\text{not }A)=1 - P(A)\), we have \(P(\text{not red})=1-\frac{1}{4}\).

$$P(\text{not red})=\frac{4-1}{4}=\frac{3}{4}$$

Answer:

\(P(\text{green})=\frac{1}{3}\), \(P(\text{not red})=\frac{3}{4}\)