1 Each of the 180 students at a college plays exactly one of the piano, the guitar and the drums. The numbers of male and female students who play the piano, the guitar and the drums are given in the following table.
| Piano | Guitar | Drums |
| Male | 25 | 44 | 11 |
| Female | 42 | 38 | 20 |
A student at the college is chosen at random.
- Find the probability that the student plays the guitar.
- Find the probability that the student is male given that the student plays the drums.
- Determine whether the events 'the student plays the guitar' and 'the student is female' are independent, justifying your answer.