At a school, of students are members of the Science Club, while are members of the Art Club. The probability of passing a specific test given Science Club membership is , whereas the probability of passing the same test given Art Club membership is . Based on the above data, answer the given subquestions.
Question
If a randomly selected student is known to have passed the test, what is the probability that this student is a member of the Science Club? Enter the answer correct to two decimal places.