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It is a paradox! The more unlikely it is the more improbable it is, therefore the more likely it is the more probable it is. The factor which devides the ultimate question is that atomic particles do not have conciousness, therefore, they may act differently from say someone or a being (say a person) with a conciousness. This equates self awareness and the attitude that self awareness although arbitrary may be retained by the individual without any notion of familiarity. Writter Greg Ori Mathers 2013. Queensland Australia.

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Q: What is the difference between Probability and improbability sampling?
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Differences between probability samplingand non-probability sampling?

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http://www.ma.utexas.edu/users/parker/sampling/repl.htm