Venn Diagrams

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 the shaded area in a Venn Diagram represent?

Back

The shaded area in a Venn Diagram typically represents the elements that belong to the sets being compared, often indicating intersections or unions.

Front

Define the term 'intersection' in the context of Venn Diagrams.

Back

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

Front

Define the term 'union' in the context of Venn Diagrams.

Back

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

Front

What does A' represent in a Venn Diagram?

Back

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

Front

How do you calculate the probability of an event using a Venn Diagram?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

If 80 students play sports, and 31 play all three sports, what is the probability that a randomly selected student plays all three sports?

Back

The probability is 31/80.

Front

What does the notation A∩B' signify?

Back

A∩B' signifies the elements that are in set A but not in set B.

Front

If a Venn Diagram shows that 74 students do not play any sports, what is the probability that a randomly selected student does not play any sports?

Back

The probability is 74/80.

Front

What is the significance of the area outside the circles in a Venn Diagram?

Back

The area outside the circles represents elements that do not belong to any of the sets being represented.