Use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to determine which of the assignments of probabilities are consistent with the definition of a probability model. is/are consistent with the definition of a probability model. (Use a comma to separate answers as needed.) Assignments A B с D E HH 1 7 0 1 = 4 5 -18 HT 1 7 0 1 = 7 7 20 ΤΗ ī 0 7 - 18 -2 7 20 TT

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I do not know how I am supposed to start this question, but I believe the answer is A,B,C,F. Is that correct?

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**Probability Model Consistency Check**

Use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to determine which of the assignments of probabilities are consistent with the definition of a probability model. 

**Instructions:** Check the box for assignments that are consistent with the definition of a probability model. (Use a comma to separate answers as needed.)

---

**Assignments Table:**

| Assignments | HH  | HT  | TH  | TT  |
|-------------|-----|-----|-----|-----|
| A           | 1/4 | 1/4 | 1/4 | 1/4 |
| B           | 0   | 0   | 0   | 1   |
| C           | 1/9 | 7/18| 7/18| 1/2 |
| D           | 1/4 | -1/4| 1/2 | 3/4 |
| E           | 1/5 | 1/5 | 1/5 | 1/5 |
| F           | 1/20| 7/20| 7/20| 1/4 |

**Explanation of the Table:**

- **Assignments A, B, C, D, E, and F**: These are the possible probability assignments for each outcome when a coin is tossed twice.
- **HH, HT, TH, TT**: These represent the possible outcomes of coin tosses—where 'H' denotes heads and 'T' denotes tails.
- Check for the following criteria:
  - The sum of probabilities in each assignment should equal 1.
  - Each probability should be between 0 and 1 inclusive.
Transcribed Image Text:**Probability Model Consistency Check** Use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to determine which of the assignments of probabilities are consistent with the definition of a probability model. **Instructions:** Check the box for assignments that are consistent with the definition of a probability model. (Use a comma to separate answers as needed.) --- **Assignments Table:** | Assignments | HH | HT | TH | TT | |-------------|-----|-----|-----|-----| | A | 1/4 | 1/4 | 1/4 | 1/4 | | B | 0 | 0 | 0 | 1 | | C | 1/9 | 7/18| 7/18| 1/2 | | D | 1/4 | -1/4| 1/2 | 3/4 | | E | 1/5 | 1/5 | 1/5 | 1/5 | | F | 1/20| 7/20| 7/20| 1/4 | **Explanation of the Table:** - **Assignments A, B, C, D, E, and F**: These are the possible probability assignments for each outcome when a coin is tossed twice. - **HH, HT, TH, TT**: These represent the possible outcomes of coin tosses—where 'H' denotes heads and 'T' denotes tails. - Check for the following criteria: - The sum of probabilities in each assignment should equal 1. - Each probability should be between 0 and 1 inclusive.
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