Not Just Two Outs (tourney)

BAD BEAT

I thought my opponent had only two outs when he called against my pair of kings. However, he also had a backdoor flush possibility which increased his chances of winning on the turn to 13%. He didn't need the flush though because he turned a set when one of his jacks came up. The frustrating thing is that winning this hand would have helped me survive when I made the final table. Instead, I came in 9th.