What do they mean by the larger score is 6 though? Do they mean the sum
No they mean the maximum or the two dice.
Ex. \(\max\{(4,3)\}=4~\&~\max\{(6,6)\}=6\)
Here is a table of outcomes of tossing two dice:
\(\begin{array}{*{20}{c}}{(1,1)}&{(1,2)}&{(1,3)}&{(1,4)}&{(1,5)}&{(1,6)}\\{(2,1)}&{(2,2)}&{(2,3)}&{(2,4)}&{(2,5)}&{(2,6)}\\{(3,1)}&{(3,2)}&{(3,3)}&{(3,4)}&{(3,5)}&{(3,6)}\\{(4,1)}&{(4,2)}&{(4,3)}&{(4,4)}&{(4,5)}&{(4,6)}\\{(5,1)}&{(5,2)}&{(5,3)}&{(5,4)}&{(5,5)}&{(5,6)}\\{(6,1)}&{(6,2)}&{(6,3)}&{(6,4)}&{(6,5)}&{(6,6)}\end{array}\)
Count the pairs in which \(3\) is max.