We'll call the name of this strategy Spread the Risk Around.
Many players like to bet on single numbers.
However, scattering your bets around greatly increases the chances that you're going to win more often. For example, if you have a few favorite numbers, bet the corners and the splits. Now, instead of hoping for a number that only comes up every 38 rolls or so, your odds of making a profitable wager are considerably increased on every roll. It's on the aggressive side, yet is still practical for players with smaller bankrolls. On a win, the player bets the current wager plus half of their current wager.