Chapter 12.8, Problem 9PPE

To determine

To find: The probability $P\left(\text{even}\text{or}\text{red}\right)$

Answer to Problem 9PPE

The probability $P\left(\text{even}\text{or}\text{red}\right)$ is $\frac{4}{5}$

Explanation of Solution

The expression for probability of an event is given by,

  $P\left(E\right)=\frac{\text{Favorable}\text{Outcomes}}{\text{Possible}\text{outcomes}}$

The probability of $P\left(\text{even}\text{or}\text{red}\right)$ is calculated as,

  $\begin{array}{c}P\left(\text{even}\text{or}\text{red}\right)=P\left(\text{even}\right)+P\left(\text{red}\right)-P\left(\text{even}\text{and}\text{red}\right)\\ =\frac{1}{2}+\frac{1}{2}-\frac{1}{5}\\ =1-\frac{1}{5}\\ =\frac{4}{5}\end{array}$

Therefore, the probability of $P\left(\text{even}\text{or}\text{red}\right)$ is $\frac{4}{5}$ .