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Consider rolling a six-sided die. Let $A$ be the set of outcomes where the roll is an even number. Let $B$ be the set of outcomes where the roll is greater than 3 . Calculate and compare the sets on both sides of De Morgan’s laws
$$(A \cup B)^{r}=A^{c} \cap B^{c} . \quad(A \cap B)^{c}=A^{c} \cup B^{c}$$