To figure out the chance of Tara being selected given that Kenny’s chance of being selected is [tex]\(\frac{1}{29}\)[/tex], let's follow these steps:
1. Understanding Simple Random Sampling:
Simple random sampling ensures that each member of the population has an equal chance of being selected. This means that no matter who it is, their chance of being chosen is the same.
2. Given Data:
- The chance of Kenny being selected is [tex]\(\frac{1}{29}\)[/tex].
3. Equal Probability:
Since Kenny and Tara are both members of the same population, under the assumption of a simple random sample, the selection chances should be equal for every individual.
4. Mathematical Representation:
- If the selection chance is equal for all members, Tara’s chance of being selected must also be [tex]\(\frac{1}{29}\)[/tex].
5. Conclusion:
- Therefore, Tara’s chance of being selected is [tex]\(\frac{1}{29}\)[/tex].
The correct answer is [tex]\(D. \frac{1}{29}\)[/tex].
To further check the correctness, the numerical representation of [tex]\(\frac{1}{29}\)[/tex] is approximately [tex]\(0.034482758620689655\)[/tex]. The result conforms to the given data, ensuring our understanding of equal chance in a simple random sample is correct.
