Given that the chance of Jim being selected is [tex]\(\frac{1}{80}\)[/tex] in a simple random sample, we need to determine the chance of Beth being selected.
Let's analyze the problem step by step:
1. Understanding Simple Random Sampling: In a simple random sample, each member of the population has an equal chance of being selected. This is a crucial point because it implies that all individuals in the population are equally likely to be chosen.
2. Identical Probability for All Members: Since every member of the population has an equal chance, the probability of selecting any one particular individual, including Jim or Beth, is the same.
3. Probability of Beth Being Selected: Given that the probability of Jim being selected is [tex]\(\frac{1}{80}\)[/tex], and considering the principle of equal probability for all members in a simple random sampling, the chance of Beth being selected must be exactly the same as that of Jim.
Therefore, the chance of Beth being selected is:
[tex]\[
\frac{1}{80}
\][/tex]
Thus, the correct answer is:
A. [tex]\(\frac{1}{80}\)[/tex]
