Warning: Greek or Roman v
Warning: Greek or Roman version acceptable.  According to Pausanias, inquirers at the oracle of Trophonius in Lebadeia had to spend several days in a house sacred to the 'Agathos Daimon' and the Greek version of this deity, who was said to be an Oceanid in Hesiod's Theogony.  Like Demeter, she was sometimes depicted carrying a cornucopia or the Ploutos child.  As a patron goddess of various cities she was depicted wearing mural crowns shaped like each city's battlements, and she was often shown carrying a rudder or a ball.  The Roman version of this goddess was associated with Bonus Eventus, while the Greek version was associated with Nemesis, who provided a counterbalance to her favors.  At her temple at Argos, the hero Palamedes supposedly dedicated the first-ever pair of dice.  FTP, name this goddess of luck whose Roman equivalent is invoked in a section of the Carmina Burana.
Warning: Greek or Roman version acceptable.  According to Pausanias, inquirers at the oracle of Trophonius in Lebadeia had to spend several days in a house sacred to the 'Agathos Daimon' and the Greek version of this deity, who was said to be an Oceanid in Hesiod's Theogony.  
Tyche or Fortuna