Larry and Carol are both members of a population, and a simple random sample is being conducted. If the chance of Larry being selected is [tex]\frac{1}{8000}[/tex], what is the chance of Carol being selected?
A. [tex]\frac{1}{8}[/tex] B. [tex]\frac{1}{800}[/tex] C. [tex]\frac{1}{80}[/tex] D. [tex]\frac{1}{8000}[/tex]
To determine the chance of Carol being selected in a simple random sample from a population where the chance of Larry being selected is given, follow these steps:
1. Understand Simple Random Sampling: In a simple random sample, every individual in the population has an equal chance of being selected. This means each person's probability of being chosen is the same.
2. Given Information: The problem states that the chance of Larry being selected is [tex]\(\frac{1}{8000}\)[/tex].
3. Equal Probability Concept: Since the method of selecting the sample is simple random sampling, the chance for any other member of the population to be selected, including Carol, will be the same as Larry's chance of being selected.
4. Conclusion: Therefore, the chance of Carol being selected is [tex]\(\frac{1}{8000}\)[/tex].
