In the city of Atlanta, small businesses are randomly chosen to offer customers or clients a "tax free" day in which taxes do not have to be paid. Each year, two of 95 small businesses are chosen. This year, chosen businesses, who were randomly selected by a city leader who represents the south-side of town, were both located in the south-side of Atlanta. Since both businesses were from the south-side of town, the other businesses claimed the contest was not fair. There are 28 businesses located in the south-side of Atlanta. We are going to simulate the probability of this contest to estimate the probability of choosing two south-side small businesses in Atlanta.
Explain how you would use a table of random digits for this simulation.
In 9 of the 100 trials of the simulation, both tax-free days were won by small south-side businesses. Do these results give convincing evidence that the lottery was not carried out fairly? Explain your reasoning.