State gambling game (5)
I believe the answer is:
lotto
'state gambling game' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for lotto that I've seen before include "Venetian painter - gambling game" , "Children's game, housey-housey" , "gamble" , "form of gambling" , "Bingo - Venetian painter" .)