The logo should clearly separate us from the competitors, by emphasizing our heavy mathematical and scientifical background. Some geekiness in the logo would be ok, though, it should not remind someone of tedious math lessons at school. XKCD comics style may be an option. It should be a recognizable icon together with the text label "thoroughbet" (capitalization up to you). The "bet" in the label Thoroughbet should somehow be emphasized, to avoid confusions with the word thoroughbred. The icon should _not_ be composed of characters like TB, but something more creative, symbolic. Background should be white or whitish. Maximum 2-3 colors should be used.
precision, accuracy, reliability, numbers, charts, horses, race, competition
Some more subtle associations:
success, winnings, wealth, fortuna, luck