A coin is tossed. If a head occurs, the coin is tossed again; otherwise, a die is tossed. On a piece of paper, list all the possible outcomes. What is the probability of 4 or 5 occurring on the die? What is the probability of two heads occurring?
A coin is tossed. If a head occurs, the coin is tossed again; otherwise, a die is tossed. On a piece of paper, list all the possible outcomes. What is the probability of 4 or 5 occurring on the die? What is the probability of two heads occurring?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Probability Exercise
**Scenario:**
A coin is tossed. If a head occurs, the coin is tossed again; otherwise, a die is tossed. On a piece of paper, list all the possible outcomes.
**Questions:**
1. What is the probability of 4 or 5 occurring on the die?
- [Answer Box]
2. What is the probability of two heads occurring?
- [Answer Box]
### Explanation:
- **Coin Toss Outcomes:**
- **Head:** Coin is tossed again.
- **Tail:** A die is tossed.
- **Die Outcomes (if tossed):**
- Possible numbers: 1, 2, 3, 4, 5, 6
This exercise tests understanding of basic probability involving conditional events. Be sure to consider all branches of outcomes from the initial coin toss.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03b23b5b-7403-4fea-9f0d-7375440b9260%2F7fc7ca89-4b7c-4445-bf8d-c16a719575c7%2Flgi2prd_processed.png&w=3840&q=75)
Transcribed Image Text:### Probability Exercise
**Scenario:**
A coin is tossed. If a head occurs, the coin is tossed again; otherwise, a die is tossed. On a piece of paper, list all the possible outcomes.
**Questions:**
1. What is the probability of 4 or 5 occurring on the die?
- [Answer Box]
2. What is the probability of two heads occurring?
- [Answer Box]
### Explanation:
- **Coin Toss Outcomes:**
- **Head:** Coin is tossed again.
- **Tail:** A die is tossed.
- **Die Outcomes (if tossed):**
- Possible numbers: 1, 2, 3, 4, 5, 6
This exercise tests understanding of basic probability involving conditional events. Be sure to consider all branches of outcomes from the initial coin toss.
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