A survey of students recorded their gender and whether they passed a test. The results are shown in the table below.
| Passed | Failed | Total | |
|---|---|---|---|
| Male | 4 | 8 | 12 |
| Female | 6 | 14 | 20 |
| Total | 10 | 22 | 32 |
A student is selected at random.
- (a)[3]
Given that the student is female, find the probability that she passed the test. Give your answer as a decimal to 2 decimal places.
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