The Addition Rule for Probability · Example 2

Suppose we have events $E$, $F$, and $G$, associated with these probabilities:

$$\begin{array}{rlr}P\left(E\right)& =& 0.45\\ P\left(F\right)& =& 0.6\\ P\left(G\right)& =& 0.55\\ P\left(E\text{and}F\right)& =& 0.2\\ P\left(E\text{and}G\right)& =& 0.2\\ P\left(F\text{and}G\right)& =& 0.25\end{array}$$

Compute the following:

(a) $P\left(E\text{or}F\right)$
(b) $P\left(E\text{or}G\right)$
(c) $P\left(F\text{or}G\right)$

OpenStax, Contemporary Mathematics · §7.8 The Addition Rule for Probability · Example 2