Use the Venn diagrams to respond to the problems. (Hint: You may use the same data provided in the two-way table from problem 3 to help make sense of the Venn diagram.)

For problems 1–5, use the Venn diagram, which represents the relationship between favorite sport (soccer or baseball) and pet ownership (own a pet or doesn’t own a pet).

### 1.

How many people said soccer is their favorite sport?

### 2.

How many pet owners are in the data?

### 3.

How many of those who don’t own pets chose baseball?

### 4.

What is the probability that a person would say soccer is their favorite sport?

### 5.

What is the probability that a pet owner would say soccer is their favorite sport? (“Out of all pet owners, % say soccer is their favorite sport.”)

Explain how your response fits with the given model.

For problems 6–10, use the Venn diagram, which represents the relationship between favorite subject (math or science) and grade level (ninth or tenth). Using this data, respond to the following problems.

### 6.

How many people said math is their favorite subject?

### 7.

How many tenth graders are in the data?

### 8.

How many ninth graders chose science?

### 9.

What is the probability that a person would say science is their favorite subject?

### 10.

What is the probability that a tenth grader would say science is their favorite subject? (“If you are a tenth grader, then the probability of science being your favorite subject is %.”)

Explain how your response fits with the given model.

## Set

### 11.

Complete the table and write three conditional probability statements.

Soccer

Baseball

Total

Total

### 12.

Complete the table about the preferred genre of reading, fiction or non-fiction, and write three conditional probability statements.

Fiction

Non-fiction

Total

Teens

Total

### 13.

Complete the two-way frequency table containing information about favorite color of M&Ms and whether people were left-handed or right-handed. Write three conditional probability statements.

Blue

Green

Red

Other

Total

Left-handed

Right-handed

Total

### 14.

Use the information provided to make a tree diagram, a two-way table, and a Venn diagram. Use the representations to support your interpretation of the data and write two statements about the data.

• Data was collected at the movie theater last fall, not about movies but clothes.

• people were observed.

• were wearing shorts and the rest were wearing long pants.

• of the shorts were made of denim.

• of the long pants were made of denim.

## Go

### 15.

What is half of one-third?

### 16.

What is one-third of two-fifths?

### 17.

What is one-fourth of four-sevenths?

### 18.

What percent is ?

What is of ?

### 20.

Seventy is of what number?

### 21.

Write as a percent.

### 22.

Write as a percent.

What is of ?

### 24.

What percent is of ?

### 25.

Sixty is what percent of ?

### 26.

What percent of is ?