如果骰子点数为 \(1\)，牌可以是 \(1\)、\(4\)、\(9\)，有 \(3\) 种组合。
如果骰子点数为 \(2\)，牌可以是 \(2\)、\(8\)，有 \(2\) 种组合。
如果骰子点数为 \(3\)，牌可以是 \(3\)，有 \(1\) 种组合。
如果骰子点数为 \(4\)，牌可以是 \(1\)、\(4\)、\(9\)，有 \(3\) 种组合。
如果骰子点数为 \(5\)，牌可以是 \(5\)，有 \(1\) 种组合。
如果骰子点数为 \(6\)，牌可以是 \(6\)，有 \(1\) 种组合。
组合总数为 \[3+2+1+3+1+1=11\text{。}\]共有 \(60\) 个等可能组合，所以概率是 \(\dfrac{11}{60} \)。
所以正确答案是 C。
English
If the rolled number was \(1,\) then the tile can be \(1,\) \(4,\) \(9,\) yielding \(3\) combinations.
If the rolled number was \(2,\) then the tile can be \(2,\) \(8,\) yielding \(2\) combinations.
If the rolled number was \(3,\) then the tile can be \(3,\) yielding \(1\) combination.
If the rolled number was \(4,\) then the tile can be \(1,\) \(4,\) \(9,\) yielding \(3\) combinations.
If the rolled number was \(5,\) then the tile can be \(5,\) yielding \(1\) combination.
If the rolled number was \(6,\) then the tile can be \(6,\) yielding \(1\) combination.
The total number of combinations is \[3+2+1+3+1+1=11.\] There are \(60\) combinations each with equal likelihood, so the probability is \(\dfrac{11}{60} .\)
Thus, the answer is C .