Assuming I'm Brilliant, and I'm giving significance to the earlier hand you posted, I put you on a spade draw. By the time the river comes the spade draw is busted so maybe you paired a ten on the river and are rationalizing that I was on a spade draw too or have a 5, so the worst hand I'm calling with is JJ or AT to win or any ten to split.
Of course, this is the worst I'm calling with (my best case scenario), i.e., putting you on a hand that easily lets me call even though a made flush looks likely here. In that case I could put you on 4c3c which lets me call with 6c5c at worst.
edit: and when I say 'worst' hand I'm assuming we're talking about what makes the worst 5-card hand.
Last edited by dandy warhol; 10-17-2010 at 02:08 PM.
Reason: explained inline