In this case of an unrepresentative finite sequence, even reductionism about chance needn't help, because it might be that other considerations suffice to fix the chance, and so we can have a genuine fair chance but a biased and non-random outcome sequence.
So any such outcome sequence will not be random, even though it quite easily could come about by chance.
The observation of a random sequence of outcomes is a defeasible incentive to inquire into the physical basis of the outcome sequence, and it provides at least a prima facie reason to think that a process is chancy (though recall §4.5).
This leads us to the idea that finite random sequences, like their infinite cousins, are not able to be generated by an algorithm which exploits patterns in the outcome sequence.
"This crisis is not a black swan event - a random outcome from a random distribution.
This is not some accidental, random outcome.
95 The gambler's fallacy occurs when observing sequences of random outcomes, like coin tosses or red/black outcomes in roulette.
Each of these ways of typing the outcome give rise to different outcome sequences, some of which may be random, while others are not.
This kind of example exploits the fact that while random sequences are a measure one set of possible outcome sequences of any process, chancy or otherwise, measure one does not mean every.
A study of randomised trials published in December 2000, before publication of the revised CONSORT Statement in 2001, showed that many items on the CONSORT checklist such as details of sample size calculations, primary outcomes, random sequence generation, allocation concealment, and handling of attrition were inadequately described in more than half of the publications assessed.
Some have maintained that coin tossing is a deterministic process, and as such entirely without chances, and yet which produces outcome sequences we have been taking as paradigm of random sequences.
