Matt and his wife have 20 good friends, twelve of them are male and eight of
them are female. They decide to have a diner 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?

Question

anonymous · Answer

... My guesses.....XP
a) probability = 12C4x8C4 = about 27.5%
                        ---------
                             20C8
b) prob = 19C7 = 40%
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                20C8
c) prob = 12C7x8C1 = about 5%
               ---------
                 20C8
d) prob = 12C8  = about 0.4%
               ------ 
                20C8
e) prob = 20C8 - 12C8 = about 99.6%
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                     20C8