Intersection and Union of Events

The video tutorial covers fundamental probability concepts, including intersections, unions, and complements. It explains how to represent these concepts using Venn diagrams and discusses mutually exclusive events. The addition rule for calculating the probability of unions is introduced, along with the complement rule. Examples using a six-sided die and a population with diabetes and hypertension illustrate these concepts. The tutorial concludes by extending these ideas to more than two events.

What is the intersection of two events A and B?

• The event that both A and B occur

• The event that only A occurs

• The event that either A or B occurs

• The event that neither A nor B occurs

How is the intersection of two events typically denoted?

• A union B

• A intersect B

• A minus B

• A or B

What does it mean if two events are mutually exclusive?

• They can both occur at the same time

• They cannot both occur at the same time

• They have a non-zero intersection

• They are always independent

What is the union of two events A and B?

• The event that only A occurs

• The event that either A or B or both occur

• The event that neither A nor B occurs

• The event that both A and B occur

In probability, what does 'A or B' mean?

• Only A occurs

• Neither A nor B occur

• Either A or B or both occur

• A and B both occur

What is the addition rule for the probability of the union of two events?

• Sum of individual probabilities

• Sum of individual probabilities minus the probability of the intersection

• Product of individual probabilities

• Difference of individual probabilities

What is the complement of an event A?

• The event that neither A nor B occur

• The event that both A and B occur

• The event that A occurs

• The event that A does not occur

How is the complement of an event A often denoted?

• A bar or A prime

• A intersect B

• A union B

• A minus B

What is the probability of the complement of an event A?

• 1 plus the probability of A

• 1 minus the probability of A

• The probability of A

• The probability of A squared

In the die roll example, what is the probability of event E, the odd numbers?

• 1/6

• 1/2

• 1/3

• 2/3