Two teaching methods for a statistics class, online and
face-to-face, are available during the course of an academic year.
To date, 1 out of every 10 students has failed
the online class and 3 out of every 25 students
have failed the face-to-face class. However, the online class is
only offered 28% of the time due to faculty constraints
and the face-to-face class is offered the other 72% of
the time. What is the probability that a student who failed the
course took the class online? Round your answer to four decimal
places. (Do not round intermediate values.)