Answer
Multiplication: events that involve AND
Addition: events that involve OR
Work Step by Step
With AND:
$P(E~and~F)=P(E)\times P(F)$ (independent events)
$P(E~and~F)=P(E)\times P(F~|~E)$ (non independent events)
With OR:
$P(E~or~F)=P(E)+P(F)$ (disjoint events)
$P(E~or~F)=P(E)+P(F)-P(E~and~F)$ (general addition rule)
