Two tiles numbered $5$ and $6$ are turned face down, respectively. One tile is turned up at random, and throw a die to get a number from $1$ to $6$. What is the probability that the product of the numbers on the tile and the die is smaller than or equal to $8$? 
选项为:A:$\frac {1}{2}$  B:$\frac {1}{3}$  C:$\frac {1}{4}$  D:$\frac {1}{5}$  E:$\frac {1}{6}$  请回答其中一个选项.