A young man had been given the task of coming up with a solution to a wager. The wager was as follows:

You (our young man) have agreed to head a University admissions committee in return for the president's support of your candidacy for the the Dirac chair. Lorenzo Estati, the incoming president, has bet the outgoing president that the first freshman class under his tenure will obtain the highest GPA ever. As chairman of the admissions committee you are charged with winning Estati's wager. Eschewing affirmative action, Estati instructs your committee to fill the freshman class with the most capable applicants. As usual, applicants for freshman seats represent various races and ethnic groups. How do you select the class to maximize the chances of winning Estati's wager?


If you are game to provide a solution, then please post it here.