Convenience sampling or quota sampling.
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In a probability sample, each unit has the same probability of being included in the sample. Equivalently, given a sample size, each sample of that size from the population has the same probability of being selected. This is not true for non-probability sampling.
In probability sampling,every item in the population has a known chance of being selected as a member.In non-probability sampling, the probability that any item in the population will be selected for a sample cannot be determined.
With a probabilistic method, each member of the population has the same probability of being selected for the sample. Equivalently, given a sample size, every sample of that size has the same probability of being the sample which is selected. With such a sample it is easier to find an unbiased estimate of common statistical measures. None of this is true for non-probabilistic sampling.
I believe you meant to ask: What distinguishes a random sample from a non random sample? A random sample means the selection or sampling from the population is by chance. Looking at the data, one might not be able to tell if the sample is random or selective. Consider a marketing survey which is included everytime you buy an item online. Random or non-random? It is a survey of recent customers, and probably a pretty good one. But it is not a random selection of all customers who have made purchases with clients.
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