Daniel asks students in his class to name a favorite pet. The table shows the results of his survey. Favorite Pet Survey Favorite Pet Number of Students Dog Cat 12 8 Hamster Other 6. 4 If a student is chosen at random in the class, what is the probability that a hamster will not be the student's favorite pet?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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### Favorite Pet Survey Results

Daniel asks students in his class to name their favorite pet. Below is the table showing the results of his survey:

| **Favorite Pet** | **Number of Students** |
|------------------|------------------------|
| Dog              | 12                     |
| Cat              |  8                     |
| Hamster          |  6                     |
| Other            |  4                     |

**Question:**

If a student is chosen at random in the class, what is the probability that a hamster will **not** be the student’s favorite pet?

**Options:**

- \( \frac{1}{6} \)
- \( \frac{5}{6} \)
- \( \frac{1}{5} \)
- \( \frac{4}{5} \)
Transcribed Image Text:### Favorite Pet Survey Results Daniel asks students in his class to name their favorite pet. Below is the table showing the results of his survey: | **Favorite Pet** | **Number of Students** | |------------------|------------------------| | Dog | 12 | | Cat | 8 | | Hamster | 6 | | Other | 4 | **Question:** If a student is chosen at random in the class, what is the probability that a hamster will **not** be the student’s favorite pet? **Options:** - \( \frac{1}{6} \) - \( \frac{5}{6} \) - \( \frac{1}{5} \) - \( \frac{4}{5} \)
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