“You’ve got to be in it to win it” is one of the New York State lottery’s more memorable advertising slogans. What this tagline doesn’t mention, of course, is you’ve got about a one in a zillion to one shot of winning. The odds aren’t quite as bad with the Nyc Housing Lottery, however. Your chances of snagging a below market rate apartment are much better – not great, mind you – but at about 600 to 1, at least in the realm of possibility.