The transport of hazardous material can involve catastrophes occurring, particularly when multiple transport trips are made. This article shows how a corporation can estimate the likelihood of being able to make a profit from a large number of such trips, with due allowance being included of the potential for a catastrophic event. The main emphasis is on estimating and updating the probability of a catastrophe based on information from prior trips. In addition, a procedure is given for allowing a corporation to decide whether it is better to buy out of a contract to transport hazardous material based on anticipated revenues including the hazard potential of a catastrophe occurring. Several numerical examples are provided to show how such estimating procedures operate in practice.