Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team

[answerhappygod]

Any athlete who fails the Enormous State University's women's
soccer fitness test is automatically dropped from the team. Last
year, Mona Header failed the test, but claimed that this was due to
the early hour. (The fitness test is traditionally given at 5 AM on
a Sunday morning.) In fact, a study by the ESU Physical Education
Department suggested that 55% of athletes fit enough to play on the
team would fail the soccer test, although no unfit athlete could
possibly pass the test. It also estimated that 44% of the athletes
who take the test are fit enough to play soccer. Assuming these
estimates are correct, what is the probability that Mona was
justifiably dropped? (Round your answer to four decimal
places.)