7. In a large college, \(\frac { 3 } { 5 }\) of the students are male, \(\frac { 3 } { 10 }\) of the students are left handed and \(\frac { 1 } { 5 }\) of the male students are left handed.
A student is chosen at random.
- Given that the student is left handed, find the probability that the student is male.
- Given that the student is female, find the probability that she is left handed.
- Find the probability that the randomly chosen student is male and right handed.
Two students are chosen at random.
- Find the probability that one student is left handed and one is right handed.