# Lesson 2 Testing, Testing Develop 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

### 7.

What does the

### 8.

How many total students are represented in the diagram?

### 9.

Which elective class has the least number of students enrolled?

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?

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