A gym has three trainers, Aldo, Bertha, and Coco, who each have 1/3 of the new members. A person who trains with Aldo has a 60% chance of being successful, a person who trains with Bertha has a 30% chance of being successful and a person who trains with Coco has a 90% chance of being successful. What is the probability that a successful member had Bertha as her trainer?
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