Venn Diagram

Venn Diagrams

Mr. Donnelly

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​Union

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​Intersection

Multiple Choice

What section is shaded?

• A

• B

• $$A\cup B$$  

• $$A\cap B$$  

Multiple Choice

What section is shaded?

• A

• B

• $$A\cup B$$  

• $$A\cap B$$  

Events that share a common outcome.

Overlapping

Events that can not share a common outcome.

Disjointed

Disjointed and Overlapping

Example

On the 2 side walls there is a scenario, look which section you are under. When is your birthday? What kind of even is this, disjointed or overlapping?

​January to July

August to December

Example

On the 4 walls there is a new scenario, look which section you are under. When is your birthday?What kind of even is this, disjointed or overlapping?

​January to July

Birthday 1st 15 days of Jan. to July

​150 college freshmen were interviewed. 85 were registered for a Math class, 70 were registered for an English class,50 were registered for both Math and English. This Venn diagram is incorrect, look at it and discuss the error with your neighbor.

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Example

​Math

​English

85

70

​50

Open Ended

What is wrong with this Venn diagram, explain the error that was made?

The reason for we subtract 50 from math and english is because we would be double counting them. The 45 on outside are the students not taking either. All the numbers have to add up to 150.

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Explanation

​Math

​English

​35

20

​50

​45

Draw

In a class of 30 students, 19 are studying French, 12 are studying Spanish and 7 are studying both French and Spanish. How many students are not taking any foreign languages?

Draw

Stroudsburg middle school awarded 21 medals to students who excelled in art and 35 medals to students for proficiency in dramatics. Fifteen students received medals in both the categories. Represent the data in a Venn diagram.

Multiple Choice

How many students like skiing or volleyball?

• 12

• 48

• 14

• 33

• 63

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