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Probabilistic conjoint choice simulators based on Luce's choice axiom (BTL or Multinomial Logit simulators) suffer from the Independence from Irrelevant Alternatives (IIA) property. This is not very realistic in many real situations where some products are more similar to one of the alternatives than to others. A Multinomial Probit (MNP) choice simulator is proposed which allows for correlated alternatives to exist in a simulated market. The MNP simulator is illustrated with an empirical example and contrasted with results from a logit simulator.