Managers for two new branches of a bank are to be selected from a group of eight candidates: five are male and three are female. The personnel manager, who will make the choices, considers all equally competent and decides to choose two at random from the group. What is the probability that
(i). one person of each sex is selected for the two branches?
(ii). both are female?
(ii). the manager of branch A is male and the manager of branch B is female?
(iii).draw a probability tree for the choices of each branch use it to verify your results for the previous questions?