Paddy Power is an Irish bookmaker founded in in Dublin, Ireland. The company conducts business through a chain of licensed betting shops in Ireland and History · Criticism · Notes. Paddy Power has installed a billboard featuring Presidential candidate Donald Trump and outgoing leader Barack Obama in Dublin city centre. Get a RISK FREE €/£10 BET for new customers only! Place a €/£10 bet and if it loses we'll refund you in cash. Plus join our VIPP Club! T&Cs Apply.