Probability

A study was conducted among members of a health insurance whose policies
require a second opinion on the advisability of surgery. Of the members whose
doctors advised them to have surgery, 20% were informed by a second doctor
that no surgery was needed. Of those, 70% took the second opinion and did not
go through with the surgery. Of the members who were advised to have surgery
by both doctors, 95% went through with the surgery. What is the probability that a person who had surgery was advised to do so by the second doctor?

Can be solved by bayes' theorem??