$A$ die is thrown. Describe the event $A$: a number less than $7$. Find $A \cup B$ if $B$ is the event of getting a number $3$.

Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number' and $B$ be the event 'getting an odd number'. Write the set representing the event '$A$ or $B$'.

Draw the appropriate Venn diagram for the following set operation: $A^{\prime} \cap B^{\prime}$.

If $A$ and $B$ are two sets,then $A \cap (B - A)$ is equal to:

If $A = \{3, 5, 7, 9, 11\}$,$B = \{7, 9, 11, 13\}$,$C = \{11, 13, 15\}$ and $D = \{15, 17\}$,find $A \cap C$.

If $A = \{ x : x \text{ is a natural number} \}$,$B = \{ x : x \text{ is an even natural number} \}$,$C = \{ x : x \text{ is an odd natural number} \}$,and $D = \{ x : x \text{ is a prime number} \}$,find $C \cap D$.