M2 3.1.1 Probability - Intersections Unions and Complements

Front

What does the symbol \( \cup \) represent in probability?

Back

The symbol \( \cup \) represents the union of two sets, meaning all elements that are in either set.

Front

What does the symbol \( \cap \) represent in probability?

Back

The symbol \( \cap \) represents the intersection of two sets, meaning all elements that are common to both sets.

Front

What is the complement of a set A?

Back

The complement of a set A, denoted as A', includes all elements not in A.

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A \cap B?

Back

A \cap B = {2, 3}

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A \cup B?

Back

A \cup B = {1, 2, 3, 4}

Front

What is the probability of an event that is certain?

Back

The probability of a certain event is 1.

Front

What is the probability of an impossible event?

Back

The probability of an impossible event is 0.

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time.

Front

If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability of A or B if they are mutually exclusive?

Back

P(A or B) = P(A) + P(B) = 0.3 + 0.5 = 0.8.

Front

What is the formula for the probability of the union of two events A and B?

Back

P(A \cup B) = P(A) + P(B) - P(A \cap B).