Alg 3 Venn Diagrams and Two Way Tables

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, showing how they overlap and interact.

Front

What does a Two-Way Table represent?

Back

A Two-Way Table displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the formula for finding the probability of an event A occurring?

Back

The probability of event A is given by P(A) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ outcomes}.

Front

In a Venn Diagram, what does the shaded area represent?

Back

The shaded area represents the elements that satisfy the condition specified, such as belonging to set A, set B, or both.

Front

How do you find the number of elements in the union of two sets A and B?

Back

The number of elements in the union of two sets A and B is given by |A ∪ B| = |A| + |B| - |A ∩ B|.

Front

What does A ∩ B represent in set theory?

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 in set theory?

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

How do you determine the number of students who play basketball from a Venn Diagram?

Back

Count the total number of students in the basketball section of the Venn Diagram, including those who may also play other sports.

Front

What is the significance of the complement of a set, denoted as A^C?

Back

The complement of a set A, denoted A^C, includes all elements not in set A.