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In the light case there is a selection, wave or beam. The subjects only make a decision based on the selections (rules) they can understand. If the subject does not see all the rules then his selection is going to be based on the ones that he does understand.
A sort of an analogy to this would be a slot game. A slot machine game is random. In other words at any given time any one of the combinations can hit for a win. However the grand sceme outcome is set so that a) there are only a certain amount of possibilieis and b) the odds are set for payouts.
Does this mean the game is rigged or that there is a possibility of a random win?
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