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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Mathematics

8 September, 00:08

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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Johanna Humphrey · Answer 1

1/10

Step-by-step explanation:

P (a successful member

had Bertha as her trainer) = P (Bertha being you trainer) x P (being successful if

trained by Bertha)

= 1/3 x 30/100

= 30/300

= 1/10