Venn Diagrams - Shaded Regions

Multiple Choice

What statement does the shaded region represent?

• $$A\cup B$$  

• $$B^c$$  
  

• $$A^c$$  

• $$A^c\cup B$$  
  

Multiple Choice

What statement does the shaded region represent

• $$A\cup B$$

• $$A^c$$
  

• $$A\cap B$$
  

• $$B^c$$
  

Multiple Choice

Which of the regions below shows $$\left(A\cap B\right)^c$$  ?

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

What does the shaded portion of the Venn diagram represent?

• Not p
• p or q
• p and q
• Not q

Vocabulary:

The complement of an event is a way of saying not. It’s the probability of an event not happening.

We use the symbols ' or - or ^c to represent an intersection. We use the word not to explain an intersection.

Example: P(A u B)'

This means NOT A or B, in other words every event where A, B, both don’t happen.

Notice, the shading did not includes circle A or circle B.

Examples:

Draw a Venn Diagram for the following situation and then answer the questions about the probabilities. 27% of the ice creams in the freezer at dairy mart are Popsicle, 35% of the ice creams are chocolate flavor, 15% are chocolate Popsicle.

a) P(Popsicle)

b) P(Popsicle)'

c) P(Popsicle u Chocolate)

d) P(Popsicle n Chocolate)

e) P(Popsicle u Chocolate)'

Example: Shading Venn Diagrams:

Formulas: