urgent question for probability!!

From a group of 5 people (2 females, 3 males) a team of 3 needs to be picked. The selection is done randomly by picking names from a hat, one name at a time. The first person to be selected from the hat is the captain of the team. The next two people are the support members.
(i) What is the probability that the first name picked is a female?
(ii) What is the probability that the first name picked is a female if the second name picked is known to be female?
(iii) What is the probability that the captain is female if we know that at least one of the support members is also female?

my answer is
(i) p(F)= 0.4
(ii) P=P(F)*P(F|F)=0.4*0.25=0.1
(iii) P=0.4*0.25*1+0.4*0.75*(1/3)=0.2

I am afraid I misunderstand the last two questions ,,please do have a look at for me!!!many thanks!