Donnell and Maria are both members of a population, and a simple random sample is being conducted. If the chance of Donnell being selected is [tex]\frac{1}{290}[/tex], what is the chance of Maria being selected?

A. [tex]\frac{1}{29,000}[/tex]
B. [tex]\frac{1}{2900}[/tex]
C. [tex]\frac{1}{290}[/tex]
D. [tex]\frac{1}{29}[/tex]



Answer :

To find the chance of Maria being selected in a simple random sample, we must first understand the concept behind a simple random sample. In a simple random sample, every member of the population is equally likely to be selected.

We are given that the chance of Donnell being selected is [tex]\(\frac{1}{290}\)[/tex]. Since the sample is random and Maria is also a member of the same population, the probability of Maria being selected must be the same as the probability of Donnell being selected. There is no additional information or differing factors to suggest otherwise.

Thus, the chance of Maria being selected is also [tex]\(\frac{1}{290}\)[/tex].

Now, let's match this answer to one of the provided options:

A. [tex]\(\frac{1}{29,000}\)[/tex]
B. [tex]\(\frac{1}{2900}\)[/tex]
c. [tex]\(\frac{1}{290}\)[/tex]
D. [tex]\(\frac{1}{29}\)[/tex]

Clearly, option C, [tex]\(\frac{1}{290}\)[/tex], matches our calculated probability.

Therefore, the chance of Maria being selected is [tex]\(\boxed{\frac{1}{290}}\)[/tex].