Determining the probability distribution of Y. 1.) There are two urns. Into each urn is placed a set of four balls numbered, 1,2,3, and 4. A ball is randomly selected from each urn.
a.) Give the probability distribution of Y, the largest of the numbers on the two balls. 
I just can't seem to get my head wrapped around this question. A nudge in the right direction would be much appreciated.

$Y=1$ for the drawing $11$.
$Y=2$ for the three drawings $12,22,21$.
$Y=3$ for the five drawings $13,23,33,32,31$.
$Y=4$ for the seven drawings $14,24,34,44,43,42,41$.
Every drawing has probability $\dfrac1{16}$.
