A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Probability THT THH HTH TTT HTT HHH TTH HHT Event A: Exactly one head Event B: A tail on the second toss Event C: Two or more tails
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Probability THT THH HTH TTT HTT HHH TTH HHT Event A: Exactly one head Event B: A tail on the second toss Event C: Two or more tails
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Educational Website Content: Coin Toss Probability Exercise**
**Instructions:**
A coin is tossed three times. Each outcome is represented by a sequence of heads (H) and tails (T), such as "HTT" (meaning a head on the first toss, followed by two tails). There are 8 possible outcomes, each being equally likely.
Below, you’ll find a table with tasks for various events. Check the outcomes that match each event and calculate the probability of each event.
**Outcomes Table:**
| Outcomes | | | | | | | | |
|----------|----|----|----|----|----|----|----|----|
| | HTT| TTH| TTT| HHT| HTH| THH| HHH| HTT|
**Events to Evaluate:**
- **Event A:** Exactly one head.
- **Event B:** A tail on the second toss.
- **Event C:** Two or more tails.
**Tasks:**
1. **Event A:** Check the outcomes with exactly one head.
2. **Event B:** Check the outcomes with a tail on the second toss.
3. **Event C:** Check the outcomes with two or more tails.
**Probability Calculation:**
For each event, list the checked outcomes and calculate the probability by dividing the number of favorable outcomes by the total number of outcomes (8).
**Interface Options:**
- Refresh
- Save For Later
- Submit Assignment
Complete the task and click "Submit Assignment" when ready.
**Note:**
Ensure to understand the basics of probability and how outcomes are calculated to complete this exercise effectively.
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