Venn diagram probability

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, often using overlapping circles to show commonalities and differences.

Front

What does A' represent in a Venn diagram?

Back

A' represents the complement of set A, which includes all elements not in set A.

Front

What does A ∩ B represent?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are common to both sets.

Front

What does A ∪ B represent?

Back

A ∪ B represents the union of sets A and B, which includes all elements that are in either set A, set B, or both.

Front

What does A' ∩ B represent?

Back

A' ∩ B represents the intersection of the complement of set A and set B, which includes all elements that are in set B but not in set A.

Front

What does A' ∪ B represent?

Back

A' ∪ B represents the union of the complement of set A and set B, which includes all elements that are either not in set A or in set B.

Front

What does A' ∩ B' represent?

Back

A' ∩ B' represents the intersection of the complements of sets A and B, which includes all elements that are not in either set A or set B.

Front

How do you find the probability of an event using a Venn diagram?

Back

To find the probability of an event using a Venn diagram, divide the number of favorable outcomes (shaded area) by the total number of outcomes (total area of the diagram).

Front

What is the probability of A given A ∩ B?

Back

The probability of A given A ∩ B is calculated as P(A | A ∩ B) = P(A ∩ B) / P(A).

Front

What is the formula for the probability of the union of two events?

Back

The formula for the probability of the union of two events A and B is P(A ∪ B) = P(A) + P(B) - P(A ∩ B).