There are $2\times6=12$ different combinations. The product of two numbers is smaller than $8$ will be $5\times1$ and $6\times1$. Thus, the probability is $\frac 2{12}$ = $\frac 16$. 
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 $8$? 
Options:
[a] $\frac {1}{2}$ 
[b] $\frac {1}{3}$ 
[c] $\frac {1}{4}$ 
[d] $\frac {1}{5}$ 
[e] $\frac {1}{6}$ 