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Two models of a queue are proposed: a human queue and two lines of vehiclesbefore a narrowing. In both models, a queuer tries to evaluate his waitingtime, taking into account the delay caused by intruders who jump to the queuefront. As the collected statistics of such events is very limited, theevaluation can give very long times. The results provide an example, whendirect observations should be supplemented by an inference from the context.

If others jump to the queue front, how long I will wait?