大專statistics probability問題

The probability that a staff of a company is promoted is 0.64 and the probability
that a staff of the company holds a master degree is 0.52. Moreover, the
probability that the staff holds a master degree is 0.75 given that he/she is
promoted. A staff is randomly selected from the company.


(i) Find the probability that he/she either is promoted or holds a master degree,
but NOT both.

(ii) Find the probability that he/she neither is promoted nor holds a master
degree.

(iii) Let E be the event that the staff of the company is promoted and F be the
event that the staff of the company holds a master degree. Are the two
events E and F independent? Justify your answer.