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?
To remove any ambiguity for part a): the score shown is an example and does not represent Ramesh's turn
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