Sets, Probability, and Independent Events

Flashcards based on lecture notes about sets, probability, and independent events.

What is a Set?

A collection or group of numbers, letters, or objects.

What is a Sample Space?

The set of all possible elements or objects considered in a particular situation.

What is a Venn Diagram?

A visual representation that illustrates how all elements of the sample space are distributed among the events.

What is a Null Set (or Empty Set)?

A set with no elements, symbolized by ε or Ø.

What is the Intersection of two sets (A ∩ B)?

All elements that belong to both A and B.

What is the Union of two sets (A ∪ B)?

All elements that belong to either A or B.

What is the complement of an event A (A')?

All elements that are not in A.

What are Mutually Exclusive Sets?

Two sets that have no elements in common (A ∩ B = Ø).

What is a Set?

A collection or group of numbers, letters, or objects.

What is the addition rule for two events, A and B?

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)