Ramesh and Teresa are playing a game. They must throw two unbiased dice, 'A' and 'B'. They then draw a rectangle based on the values that the dice land on. One side has a length (in cm) of (A+B) and the other side has a length (in cm) of (A-B). The winner is the person with the largest rectangle.
a) What is the chance that Ramesh will win the game?
b) How large is the largest possible rectangle?