Statistics and probability: bike raffles

[joosttx]

So I entered a raffle to win a Bingham Built MTB. My number is 131. The drawing (really 3) will randomly pick three numbers 0-9 to get the three digit number (not quite how they are doing it but this makes the question a little more simple). The three drawings will be independent. An example will be:

Drawing 1: 5
Drawing 2: 6
Drawing 3: 7

Winning # 567

So are my odds better for winning having three different numbers like 123, 729, 891 than having a number with at least two numbers the same like 775, 131 955....

If memory serves I have a better chance of winning with 3 different numbers since I think (guessing) there are more three different number combinations than same number (meaning at least 2/3 same number) combinations.

Ok smartie pants lets here your arguements and explainations...