SOLUTION: Discipline Male Female Total Mathematics 6 4 10 Science 5 2 7 Engineering 1 0 1 Total 12 6 18 Suppose that two faculty members are chosen at random to win a door prize at

Question 725497: Discipline Male Female Total
Mathematics 6 4 10
Science 5 2 7
Engineering 1 0 1
Total 12 6 18

Suppose that two faculty members are chosen at random to win a door prize at the MS&E Division end-ofsemester party (only one prize per person). Find the fractional probability that the two faculty members are
of the opposite sex.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Discipline Male Female Total
Mathematics 6 4 10
Science.... 5 2 7
Engineering 1 0 1
--------------------------
Total..... 12 6 18

Suppose that two faculty members are chosen at random to win a door prize at the MS&E Division end-ofsemester party (only one prize per person). Find the fractional probability that the two faculty members are of the opposite sex.
----
# of pairs of opposite sex: 12*6 = 72
# of pairs of same sex: 12C2 + 6C2 = 66+15 = 81
P(pair of opposite sex) = 72/81 = 0.89
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Cheers,
Stan H.
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