Tyche

Tyche (Ancient Greek: Τύχη) is the Greek goddess of luck and chance, whose Roman counterpart is Fortuna. She was sometimes regarded as a fourth Fate, but not legitimately so. She was commonly represented with the cornucopia of abundance and the wheel of chance.

History
The daughter of Oceanus and Tethys, Tyche is one of the three thousand Oceanids. In ancient times, Tyche was worshiped as the deity who presided over city and individual prosperity. While Tyche is know for giving people good luck, she is sometimes opposed by Nemesis, the goddess of balance. If a person recieves too much good luck, Nemesis will provide them with bad to cancel it out.

The Last Olympian
Despite not appearing in the series and having no mention, Tyche is one of the gods given a cabin at Camp Half-Blood after the Second Olympian War.

The Mark of Athena
Nemesis complains that Tyche is too generous in giving good fortune.

Trivia

 * Tyche's cabin at Camp Half-Blood is Cabin 19.
 * According to Rick Riordan's website, Tyche is the most difficult Goddess to find. It is said that if you just keep on praying for good luck, she's not as likely to give you some, and that if you just go ahead and do something, chances are she may lend you some. This explains the generally random behavior of her children.
 * Sometimes the Constellation Virgo is associated with her.
 * On Rick Riordan's website, Nemesis is said to be sisters with Tyche's Roman counterpart, Fortuna. Whether this is true to the series or if Rick Riordan made a mistake is unknown.
 * Sometimes she is seen as a Titan rather than a god.