# Lesson 1Testing, TestingDevelop Understanding

For problems 1–5, use the Venn diagram about choir and band enrollments.

### 1.

How many students were surveyed?

### 2.

What were the students asked?

### 3.

How many students are in both choir and band?

### 4.

How many students are not in either choir or band?

### 5.

What is the probability that a randomly selected student would be in band?

For problems 6–9, use the Venn diagram about music, art, and foreign language enrollments.

### 6.

What does the in the center tell you?

### 7.

What does the tell you?

### 8.

How many total students are represented in the diagram?

### 9.

Which elective class has the least number of students enrolled?

## Set

For problems 10–14, use the tree diagram to determine the probabilities. The diagram represents the number of plate appearances during the first month of a minor league baseball season.

### 10.

Based on this data, if you are a left-handed batter, what is the probability that you will face a right-handed pitcher?

### 11.

Based on this data, if you are a right-handed batter, what is the probability that you will face a left-handed pitcher?

### 12.

Based on this data, what is the probability a batter will face a pitcher of the same hand (left on left, right on right)?

### 13.

What is the probability that a left-handed pitcher will be throwing for any given plate appearance?

### 14.

What is the probability that a left-handed batter would be at the plate for any given plate appearance?

### 15.

What observations do you make about the data? Is there any amount that seems to be overly abundant? What might account for this?

## Go

Find the probability of achieving success with each of the events.

### 16.

Rolling an even number on a standard six-sided die.

### 17.

Drawing a black card from a standard deck of cards.

### 18.

Flipping a coin and getting heads three times in a row.

### 19.

Rolling a die and getting a four.

### 20.

Drawing an ace from a deck of cards.

### 21.

Rolling a die twice in a row and getting two threes.

### 22.

Pulling out a red marble from a bag containing blue, red, and white marbles.