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The Bernoulli distribution is a discrete distribution and with probability p the outcome is 0 while with probability 1-p it is 1 (Simul8 only asks for the former).
The parameter is bound between 0 and 1. It is often used to include binary choices or outcomes of experiments in a simulation, for example whether a test was passed “Yes” or “No” and that stored in a label can be used for later simulation logic. Similarly, it can be used for Routing Out decisions, again based on labels.