Question 257929
The type of people watching a film at a cinema is shown in the table. 
----------Male---Female---Total 
Adult-----21------14--------35 
Child-----10------5---------15
Total-----31------19--------50

Two of these people are chosen at random to receive free cinema tickets. 
Calculate the probability that two chosen people are adults of the same gender.
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P[(2male or 2female)|adult) = P(2male|adult) + P(2female|adult) = [21C2+14C2]/35C2
= [210 + 91]/[595] = 301/595 = 0.51
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Cheers,
Stan H