True, you can play good odds with no game analysis. Box bets or "straight/box" split bets are the best way to go for better odds.
1) You could try playin a Trio of Random Unmatched Pick3 Picks ifya don't want to play the 27% side with doubles.
2) You could simply choose 4, 5 or 6 digits and use one of my Pick3 Box Wheels:
http://crazynuts.hollosite.com/daily3_pick3_lottery/
3) a Two-Thirds Box wheel on 4 to 10 digits is another option. Can play all 10 digits 0 to 9 in any order, resulting in only 17 picks...offering box match 2 bases...just a matter of luck boxin the remaining digit into the right pick. You'll have one or more picks with 2 of the draw digits boxed, then the odds to match the rest are only "1 in 10" to box the remaining digit. Actually, it is "1 in 8" since the Two-Thirds box currently excludes doubles.
4) You could play 10 picks with 0 to 9 down the first column to guarantee that you have the 1st digit. That will leave you with one "1 in 100" chance of boxing the 2 trailing digits. Personally, I'd rather bet $7 more to get a pick with "1 in 8" odds of boxing...assuming of course that doubles aren't drawn.
cheers!
blitzed