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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}{29}[/tex]
D. [tex]\frac{1}{290}[/tex]


Sagot :

To determine the chance of Maria being selected, let's first understand that a simple random sample means every member of the population has an equal probability of being selected.

Given:
- The chance of Donnell being selected is [tex]\(\frac{1}{290}\)[/tex].

Since Donnell and Maria are both members of the same population, and the sampling method is simple random sampling, the probability that Maria will be selected must be the same as that of Donnell. This is a key principle of simple random sampling where each member has an equal chance of selection.

Thus, the chance of Maria being selected is the same as the chance of Donnell being selected:

[tex]\[\frac{1}{290}.\][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{\frac{1}{290}} \][/tex]
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