The hypothesis that successive, brief visual stimuli are perceptually independent, rather than being increasingly clear, was tested. If multiple looks are independent, then the serial position of a discrepant letter should not affect identification accuracy. Six 5s made identification responses to tachistoscopically presented graphemes (A, T, U), presented one at a time and three times in succession. Many three-look trials had a discrepant letter in one of the three serial positions. No effect due to order of the discrepant letter was found, supporting the independence hypothesis. Given evidence for independence, Bayes' rule was used as a model for information aggregation to predict three-look performance from one-look data. Predictions were very accurate, providing further evidence for the Bayesian aggregation model and for perceptual independence.