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gamblers' fallacy

noun
  1. psychol the fallacy that in a series of chance events the probability of one event occurring increases with the number of times another event has occurred in succession
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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012