Venn and Tree Diagrams

Students survey 758 spectators at a national championship tennis match. The survey results

indicate the following:

• 421 are male,

• 256 have a two-handed backhand swing, and

• 176 of the people with a two-handed backhand swing are female.

Complete the Venn diagram for this scenario. Then answer the following questions:

How many spectators are in section A of the Venn Diagram shown?

Tags

CCSS.HSS.CP.A.1

Students survey 758 spectators at a national championship tennis match. The survey results

indicate the following:

• 421 are male,

• 256 have a two-handed backhand swing, and

• 176 of the people with a two-handed backhand swing are female.

Complete the Venn diagram for this scenario. Then answer the following questions:

How many spectators are in section B of the Venn Diagram shown?

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Students survey 758 spectators at a national championship tennis match. The survey results

indicate the following:

• 421 are male,

• 256 have a two-handed backhand swing, and

• 176 of the people with a two-handed backhand swing are female.

Complete the Venn diagram for this scenario. Then answer the following questions:

How many spectators are in section C of the Venn Diagram shown?

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Students survey 758 spectators at a national championship tennis match. The survey results

indicate the following:

• 421 are male,

• 256 have a two-handed backhand swing, and

• 176 of the people with a two-handed backhand swing are female.

Complete the Venn diagram for this scenario. Then answer the following questions:

How many spectators are in section D of the Venn Diagram shown?

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

In the Venn diagram shown, if a student is chosen at random, what is...

...the probability that the student chosen is not in Chemistry?

• 
  

  $\frac{20}{29}$
  

• $\frac{14}{29}$
  

• $\frac{6}{29}$
  

• $\frac{18}{29}$

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.6

CCSS.7.SP.C.7

In the Venn diagram shown, if a student is chosen at random, what is...

...the probability that the student chosen is in Algebra II or Chemisty, but not both?

• 
  

  $\frac{4}{29}$
  

• $\frac{6}{29}$
  

• $\frac{19}{29}$

• $\frac{23}{29}$

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Each spinner will be spun. How many different possible outcomes are there?

• 9

• 20

• 25

• Not enough information to be determined

Tags

CCSS.7.SP.C.8

After spinning both spinners, what is the probability that Lauren's name will be chosen?

• 
  

  $\frac{1}{9}$
  

• $\frac{1}{4}$

• Not enough information to be determined

• $\frac{1}{5}$

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

After choosing from all three bags, what is the probability that all three blocks chosen are different colors?

• Not enough information to be determined

• 
  

  $\frac{1}{3}$
  

• $\frac{1}{9}$

• $\frac{2}{9}$
  

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

What is the probability that two reds and a blue are chosen?

• $\frac{2}{9}$
  

• $\frac{1}{9}$
  

• Not enough information to be determined

• $\frac{1}{3}$
  

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8