Math Help - die probability

1. die probability

"What is the probability of getting a total score of more than 7 when two fair dice are rolled together?"

I got $\frac{15}{36}$ but the book says $\frac{1}{3}$?

Thanks!

2. Hello, Nyoxis!

What is the probability of getting a total score of more than 7
when two fair dice are rolled together?"

I got $\frac{15}{36} \quad{\color{blue}\hdots\text{ Right!}}$
. . but the book says $\frac{1}{3}\quad {\color{red} \hdots\text{ Wrong!}}$
Can't imagine where they got their answer . . .

$\begin{array}{cccccc}(1,1) & (1,2) & (1,3) & (1,4) & (1,5) & (1,6) \\ (2,1) & (2,2) & (2,3) & (2,4) & (2,5) & {\color{blue}(2,6)} \\ (3,1) & (3,2) & (3,3) & (3,4) & {\color{blue}(3,5)} & {\color{blue}(3,6)} \\ (4,1) & (4,2) & (4,3) & {\color{blue}(4,4)} & {\color{blue}(4,5)} & {\color{blue}(4,6)}\end{array}$
$\begin{array}{cccccc}(5,1) & (5,2) & {\color{blue}(5,3)} & {\color{blue}(5,4)} & {\color{blue}(5,5)} & {\color{blue}(5,6)} \\
(6,1) & {\color{blue}(6,2)} & {\color{blue}(6,3)} & {\color{blue}(6,4)} & {\color{blue}(6,5)} & {\color{blue}(6,6)}\end{array}\quad\Leftarrow\quad \text{fifteen outcomes}> 7$

3. Heh 'Cambridge Advanced Mathematics' wrong.
Thanks!