1.6. Operations on Events

Try these first

1. 1.

   What is the union of event A (rolling a 1) and event B (rolling an even number) when rolling a die?

   Hint

   List out the outcomes of both events.

2. 2.

   If event A is getting a head when tossing a coin, what is the complement of A?

   Hint

   What outcome is not included in event A?

3. 3.

   What does A ∪ B represent?

   • Only A occurs
   • Only B occurs
   • A or B or both occur

   Hint

   Think about combining the outcomes of both events.

4. 4.

   True or False: The intersection of A and B represents outcomes that are in either A or B.

   • True
   • False

   Hint

   Consider the outcomes shared by A and B.

5. 5.

   Suppose event A is rolling a die showing even numbers and event B is rolling numbers less than 5. List the union, intersection, and difference A − B.

   Hint

   Identify numbers satisfying both conditions to solve for intersections and unions.

6. 6.

   If A contains all even integers and B includes numbers divisible by 4, what can you say about the complement of A and how does it relate to A?

   Hint

   Remember that the complement gives us everything outside the specified set.