Numerous experiments have confirmed Reichenbach's (1934Reichenbach's ( /1949 expectation that humans are suboptimal generators and judges of randomness-they tend to generate series with too many alternations (the negative recency effect) and to match the probability characteristics of the process in short subsequences (the local representativeness effect). Several classes of theories have been proposed to explain these results, with modest success. In the present article a stochastic model assuming one free parameter of serial dependence is outlined, and an experimental procedure for its test is developed. In the first experiment the model's parameters are estimated and its major assumptions are successfully tested. Fifteen of the 18 subjects are well fitted by the model, but only 11 of them display negative bias. The second experiment tested and rejected an artifactual interpretation of the results based on Neuringer's (1986) suggestion that people can be trained to become good randomizers. The third experiment extended the validity of the model by demonstrating the stability and robustness of its parameters under systematic changes in the display of previous responses. Implications of the model and the data for the various theories are discussed. It is suggested that only theories which are based on the notion of a "subjective concept of randomness" are consistent with the results of these experiments.The research on subjective randomness has recently celebrated its 50th birthday. Its beginnings can be traced to a brief observation made by Reichenbach (1934Reichenbach ( /1949 in his book on the foundations of probability theory. He speculated that people untrained in probability would be unable to generate random sequences and would produce instead series with too many alternations. This observation was confirmed in a variety of experiments reviewed by Tune (1964aTune ( , 1964b and in a most detailed and systematic fashion by Wagenaar (1972aWagenaar ( , 1972b.The experimental work in this domain has used three paradigms. In randomization experiments, subjects were instructed to produce a sequence of responses with random characteristics, that is, "a random sequence." Such experiments were performed with various numbers of alternative responses (from binary series with two responses to 26 alternatives), with various lengths of sequences (from 20 to 2,520), and with a variety of stimuli (numbers, letters, symbols, etc.). Subjects responded by writing or calling out the sequence or by pushing buttons and stamping symbols at different rates of response. A detailed summary of all the experimental conditions and response procedures was provided by Wagenaar (1972aWagenaar ( , 1972b. In the constrained randomization procedure the subjects are presented with all the components of the sequence (e.g., 50 blue cards and 50 yellow ones) and are required to arrange them in random