# Lesson 6 Declaring Independence Solidify Understanding

Find the

### 1.

line of symmetry:

vertex:

### 2.

line of symmetry:

vertex:

### 3.

line of symmetry:

vertex:

### 4.

line of symmetry:

vertex:

### 5.

line of symmetry:

vertex:

### 6.

line of symmetry:

vertex:

Determining the independence of events can sometimes be done by becoming familiar with the context in which the events occur and the nature of the events. There are also some ways of determining independence of events based on equivalent probabilities.

Two events,

and , are independent if . Additionally, two events,

and , are independent if .

Use these two ways of determining independent events to determine independence in the problems below and answer the problems.

### 7.

### 8.

### 9.

### 10.

The table shows the results of a survey of automobile preferences for different age groups. Participants were asked whether they would prefer owning a car or a truck. Use the table for problems 11–15.

Truck | Car | Total | |
---|---|---|---|

Total |

### 11.

Find

### 12.

Find

### 13.

Find

### 14.

Find

### 15.

Based on the random survey, are preferring a truck and belonging to the age range of

The following data represents the number of men and women passengers aboard the *Titanic* and whether or not they survived.

Survived | Did Not Survive | Total | |
---|---|---|---|

Men | |||

Women | |||

Total |