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You take into account that the probability of getting the freight elevator in one case. Such a probabilty is given by:
p = 1/3 because there are three elevator
For the case in which you use the elevator six times, the probability of getting the freight elevator will be:
P = 2/(3*6) = 2/18 = 1/9
where it is taken into account that the total number of moments in which the elevator is used.