AN EQUATION!!! :-o
Next thing you know you will be discussing the polarity of ZERO!!! :-P
You defined 10 possible selections so the odds of any single selection is 1/10.
You defined the possible selections as three 0’s, four 1’s and three 2’s.
This means the odds of selecting a 0 is 3/10 or 30% in a single draw. For a 1 it is 4/10 or 40% and for a 2 it is 3/10 or 30%.
You then specify two draws with replacement between the draws.
Finally, you requested the sum of the two draws equal or exceed “3”.
The possible results of the two draws are (x,y) where x is the first draw and y is the second draw.
These possible results are (0,0); (0,1); (0,2); (1,0); (1,1); (1,2); (2,0); (2,1); (2,2).
The only results you are interested in are (1,2); (2,1) and (2,2).
These are (0.4 * 0.3) + (0.3 * 0.4) + (0.3 *0.3)
This equals 0.12 + 0.12 + 0.09 or 0.33 which is 33%.
For a bunch of fancy pants math terms take a look at this:
http://en.wikipedia.org/wiki/Dice#Probability