7.8 The Addition Rule for Probability

Decide whether the following events are mutually exclusive. If they are not mutually exclusive, identify an outcome that would result in both events occurring.

1. You are about to roll a standard 6-sided die. $E$ is the event “the die shows an even number” and $F$ is the event “the die shows an odd number.”
2. You are about to roll a standard 6-sided die. $E$ is the event “the die shows an even number” and $S$…

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

Compute the following:

1. $P \left(E \text{or} F\right)$
2. $P \left(E \text{or} G\right)$
3. $P \left(F \text{or} G\right)$