Steve and Silva are both members of a population, and a simple random sample is being conducted. If the chance of Steve being selected is [tex]\frac{1}{98,000}[/tex], what is the chance of Silva being selected?

A. [tex]\frac{1}{98}[/tex]
B. [tex]\frac{1}{9800}[/tex]
C. [tex]\frac{1}{98,000}[/tex]
D. [tex]\frac{1}{980}[/tex]



Answer :

Let's analyze the problem step by step to determine the chance of Silva being selected from the population.

1. Understanding the Information:
- We are given that the chance of Steve being selected in a simple random sample from the population is [tex]\(\frac{1}{98,000}\)[/tex].

2. Simple Random Sampling:
- In simple random sampling, every member of the population has an equal chance of being selected.
- This means that the probability of each member of the population being selected is the same.

3. Applying the Principle to Silva:
- Since Silva is also a member of the same population, her chance of being selected would be the same as Steve's.

4. Calculating Silva's Chance:
- The chance of Steve being selected is given as [tex]\(\frac{1}{98,000}\)[/tex].
- Therefore, the chance of Silva being selected follows the same probability, which is also [tex]\(\frac{1}{98,000}\)[/tex].

Thus, the chance of Silva being selected is:
[tex]\[ \frac{1}{98,000} \][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{\frac{1}{98,000}} \][/tex]