A six-sided die with faces labeled 1 to 6 will be rolled once. The six possible outcomes are listed. Note that each outcome has the same probability. Complete parts a through c. Write the probabilities as fractions.

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A six-sided die with faces labeled 1 to 6 will be rolled once. The six possible outcomes are listed. Note that each outcome has the same probability. Complete parts a through c. Write the probabilities as fractions.

### Probability Study Guide

#### Determining Outcomes for Events with a Six-Sided Die

**Instructions**: Check the outcomes for each event below. Then, enter the probability of the event.

---

#### Events

- **Event A**: Rolling an odd number
- **Event B**: Rolling a number less than 5
- **Event A or B**: Rolling an odd number or rolling a number less than 5
- **Event A and B**: Rolling an odd number and rolling a number less than 5

#### Outcomes Table

A table is presented with two main columns:

- **Outcomes**: The six possible outcomes when rolling a die (1 through 6).
- **Checkboxes**: Indicate which outcomes correspond to each event.

---

#### Calculating Probabilities

**(b) Compute the following**:

- Formula: \( P(A) + P(B) - P(A \text{ and } B) \)
- Answer in the computation box: [ ]

A dropdown menu provides options for selecting the answer, including:

- \( P(A \text{ and } B) \)
- \( P(A \text{ or } B) \)
- \( P(B) \)
- \( P(A) \)
- (Choose one)

**(c) Select the answer that makes the statement true:**

- Formula: \( P(A) + P(B) - P(A \text{ and } B) = \) [Choose one]

---

This guide assists students in understanding how to compute probabilities for specific events when rolling a standard six-sided die. Use the checkboxes to mark the appropriate outcomes for each event, and fill in the probability expressions to understand their relationships.
Transcribed Image Text:### Probability Study Guide #### Determining Outcomes for Events with a Six-Sided Die **Instructions**: Check the outcomes for each event below. Then, enter the probability of the event. --- #### Events - **Event A**: Rolling an odd number - **Event B**: Rolling a number less than 5 - **Event A or B**: Rolling an odd number or rolling a number less than 5 - **Event A and B**: Rolling an odd number and rolling a number less than 5 #### Outcomes Table A table is presented with two main columns: - **Outcomes**: The six possible outcomes when rolling a die (1 through 6). - **Checkboxes**: Indicate which outcomes correspond to each event. --- #### Calculating Probabilities **(b) Compute the following**: - Formula: \( P(A) + P(B) - P(A \text{ and } B) \) - Answer in the computation box: [ ] A dropdown menu provides options for selecting the answer, including: - \( P(A \text{ and } B) \) - \( P(A \text{ or } B) \) - \( P(B) \) - \( P(A) \) - (Choose one) **(c) Select the answer that makes the statement true:** - Formula: \( P(A) + P(B) - P(A \text{ and } B) = \) [Choose one] --- This guide assists students in understanding how to compute probabilities for specific events when rolling a standard six-sided die. Use the checkboxes to mark the appropriate outcomes for each event, and fill in the probability expressions to understand their relationships.
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