I drew the short straw.

Literal

I [topic-は] poverty-lottery [object-を] drew.

貧乏くじをひく ('draw the poor lot,' literally 'poverty-lot-pull') is an idiom meaning 'to get the short end of the stick, draw the short straw, have bad luck (in a random distribution).' 貧乏 ('poor, poverty') + くじ ('lottery, lot') + ひく ('pull, draw'). A common colloquial expression for being the unlucky one.