Random factor perception

“This paper reports the results of 2 studies that examine the perceptions of individuals attempting to generate random sequences. It was hypothesized that erroneous perceptions dominate probability judgment. The first study demonstrated that subjects verbalized significantly more erroneous than accurate perceptions when generating sequences of random binary events … but motivation did not increase the number of misconceptions. A basic error concerned subjects' inability to consider events as being independent of each other.” Robert L. et al. (1996) 
Erroneous Perceptions in Generating Sequences of Random Events 
Journal of Applied Social Psychology 26 (24), 2157–2166.