Venn Diagrams

Front

What is a Venn Diagram?

Back

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

Front

What does the intersection of two sets in a Venn Diagram represent?

Back

The intersection represents the elements that are common to both sets.

Front

How do you determine the number of elements in the union of two sets?

Back

The number of elements in the union of two sets is found by adding the number of elements in each set and subtracting the number of elements in their intersection.

Front

What does a shaded area in a Venn Diagram typically indicate?

Back

A shaded area indicates the elements that belong to the specified set or sets.

Front

If Set A has 10 elements and Set B has 15 elements, and they have 5 elements in common, how many elements are in the union of Set A and Set B?

Back

The union of Set A and Set B is 20 elements (10 + 15 - 5).

Front

What is the probability of selecting an element from the intersection of two sets?

Back

The probability is calculated by dividing the number of elements in the intersection by the total number of elements in the universal set.

Front

How can you represent 'A or B' in a Venn Diagram?

Back

'A or B' is represented by the entire area covered by both circles, including the intersection.

Front

What does 'neither A nor B' mean in the context of a Venn Diagram?

Back

'Neither A nor B' refers to the elements that are not included in either set A or set B.

Front

How do you find the number of elements that belong to only one set in a Venn Diagram?

Back

To find the number of elements that belong to only one set, subtract the number of elements in the intersection from the total number of elements in that set.

Front

What is the formula for calculating the probability of an event?

Back

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