Practice: Unions, Intersections, & Complements

Front

What is the union of two sets A and B?

Back

The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both.

Front

What is the intersection of two sets A and B?

Back

The intersection of two sets A and B, denoted as A ∩ B, is the set of elements that are in both A and B.

Front

What is the complement of a set A?

Back

The complement of a set A, denoted as A', is the set of all elements in the universal set that are not in A.

Front

Define a certain event in probability.

Back

A certain event is an event that is guaranteed to occur, with a probability of 1.

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time; the occurrence of one event excludes the occurrence of the other.

Front

How do you calculate the probability of the union of two events A and B?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) where P(A ∩ B) is the probability of both events occurring.

Front

What is the probability of an event that is impossible?

Back

The probability of an impossible event is 0.

Front

If a spinner has 8 equal sections, what is the probability of landing on one specific section?

Back

The probability of landing on one specific section is 1/8.

Front

What is the formula for calculating the probability of the intersection of two independent events A and B?

Back

P(A ∩ B) = P(A) * P(B) for independent events.

Front

What does P(D or E) represent in probability?

Back

P(D or E) represents the probability that event D occurs, event E occurs, or both events occur.