# What does it mean when sampling is done without replacement

Posted By Admin @ September 03, 2022

#### Question:

What does it mean when sampling is done without​ replacement? Choose the correct answer below. A. Once an individual is​ selected, the individual cannot be selected again. B. Once an individual is​ selected, the individual can be selected again. C. Once a sample is​ taken, those individuals are no longer considered part of the population. D. Once a sample is​ taken, those individuals cannot be selected for any other samples.

The correct option is A) Once an individual is​ selected, the individual cannot be selected again.

Step-by-step explanation:

Consider the provided statement.

Without​ replacement mean each population sample unit has only one opportunity in the sample to be chosen.

For example:

If a bag contains 5 red and 3 white ball and you randomly select a white ball, the probability of selecting the white ball is 3/8.

Now if the experiment is done by without replacement that means the white ball (which you have selected) is no longer the part of the sample space.

Hence, we can say that once an individual is​ selected, the individual cannot be selected again.

Thus, the correct option is A) Once an individual is​ selected, the individual cannot be selected again.

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