2.1.5. Event Algebra (Set Theory of Events)

Try these first

1. 1.

   What does A ∪ B represent?

   Hint

   Think of it as bringing two sets together.

2. 2.

   Describe what A ∩ B means.

   Hint

   Consider it as overlap in a Venn diagram.

3. 3.

   What does the union of two events represent?

   • Only A occurs
   • Only B occurs
   • Either A occurs or B occurs or both

   Hint

   Think about a group combining two clubs.

4. 4.

   True or False: The intersection of two events contains outcomes from either event.

   • True
   • False

   Hint

   It's about the overlap.

5. 5.

   Given events A = {1,2,3,4} and B = {3,4,5,6}, find A ∪ B, A ∩ B, A - B, and Aᶜ assuming S = {1,2,3,4,5,6}.

   Hint

   Identify all unique elements first for union.

6. 6.

   In a survey, 60% like coffee (event A), 40% like tea (event B), and 25% like both. What percentage likes at least one of the drinks?

   Hint

   Remember to avoid double counting the overlap of both events.