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4. Matt and his wife have 20 good friends, twelve of them are male and eight of them are female. They decide to have a dinner party but can invite only eight guests. They decide to invite their guests by drawing their names from a hat. What is the probability that

a) There will be an equal number of males and females at the dinner party?

b) Mandie will be among those invited?

c) There will be only one female guest?

d) They will have only male guests?

e) There will be at least one female guest?

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