the difference is just that non-probability sampling does not involve random selection, but probability sampling does.
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Non probability sampling and probability sampling are different because probability sampling uses random samples. Non probability sampling aren't random, but can still be representative of the population as a whole if done correctly.
Pros and Cons of a non-probability sampling
The statement is true that a sampling distribution is a probability distribution for a statistic.
It is not!
With probability sampling you have no control over the units that are sampled. So the only way to reduce the margin of error is to increase the size of the sample.