A Study Was Conducted Among a Certain Group of Union

Short Answer

A study was conducted among a certain group of union members whose health insurance policies required second opinions prior to surgery. Of those members whose doctors advised them to have surgery, 20% were informed by a second doctor that no surgery was needed. Of these, 70% took the second doctor's 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 union member who had surgery was advised to do so by a second doctor? If necessary, round your answer to two decimal places.
The probability is __________.