# Lesson 4 Fried Freddy’s Solidify Understanding

In some of the situations described below, the first event affects the subsequent event (dependent events). In other situations, the two events are completely independent (independent events). Determine which situations are dependent and which are independent.

### 1.

A coin is flipped twice. The first event is the first flip, and the second event is the next flip.

#### A.

Dependent events

#### B.

Independent events

### 2.

A bag of marbles contains

#### A.

Dependent events

#### B.

Independent events

### 3.

A batter’s swing is either right-handed or left-handed. The first event is the first batter to come to the plate. The second event is the second batter to come up to the plate.

#### A.

Dependent events

#### B.

Independent events

### 4.

A standard die is rolled twice. The first event is the first roll and the second event is the second roll.

#### A.

Dependent events

#### B.

Independent events

### 5.

Two cards are drawn from a standard deck of cards. The first event is the first card that is drawn and not returned to the deck. The second event is the second card that is drawn.

#### A.

Dependent events

#### B.

Independent events

### 6.

Sally was assigned to create a Venn diagram to represent

### 7.

Sally then creates the following diagram.

Sally’s Venn diagram is incorrect. Why?

The Venn diagram shows the data collected at a sandwich shop for the last six months. It shows the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich. Use this data to create a two-way frequency table and answer the problems.

### 8.

Two-way frequency table.

### 9.

What is the probability that a randomly selected customer would order sourdough bread?

### 10.

What is the probability that a randomly selected customer would order sourdough bread without cheese?

### 11.

What is the probability that a person prefers wheat bread without cheese?

### 12.

What is the estimated probability that a randomly selected customer would want their sandwich with cheese?

### 13.

If they serve

### 14.

What is the probability that a randomly selected person would choose sourdough or no cheese?

### 15.

What is the probability that a randomly selected person would NOT choose sourdourgh or no cheese?

Use the given ratio to set up a proportion and find the desired value.

### 16.

If

### 17.

In a survey, it was found that

### 18.

Data collected at a local mall indicated that