A building inspector has been assigned to investigate the construction code violation for two cities at Newfoundland and Labrador. He randomly selected 10 buildings from each f two cities. The previous record shows: for the first city, 15 out of 37 buildings are
violating the code and for the second city, 12 out of 27 buildings are violating the code.
(a) What is the probability that he will have the same proportion of buildings in the two cities? (b) How many times would he have to sample from these cities before he did have the same proportion?