Matt and his wife have twenty good friends, twelve of them are male and eight of them are female. They decide to have a dinner party but can only invite eight guests.They decide to invite their guests by drawing names from a hat.What is the probability that

a)There are an equal number of males and females at the party?

b)Mandie will be among those invited?

c)There will be only one female guest?

d)There will be only make guests?

e)There will be at least one female guest?