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I don't know for sure, but I would imagine the same goes for Adsense. As long as it's an informational site, it is most likely ok.
I've seen adsense on a few sites with gambling info so the above is most likely ok, but if you want to be perfectly safe, I'd check with G personally.
I tried for 6 months to get a horse racing site (not tips, and one which deplores casinos) into Adwords.
Each time I just got the same old reply saying that gambling sites are against TOS.
What really annoyed me was that my competitors were all using Adwords without any problems. G's response was for me to report them for violation.
I did that for a few but G never got rid of them,
It seems that if you can get away with it (by not using trip words in the ad) then go for it. If not forget it. Find other ways to advertise.
Anway. Think about this for a moment.
If you can set up Adsense for a gambling site, but not Adwords for a gambling site, then where do the Adsense ads come from?
I've got ads that don't trip the word filter and I've got ads that do and I had to request exceptions and got them.
G's stance is as long as the site does not actually offer gambling or link to sites that offer gambling, it's ok.
In any case you should ask Google, as specifically as possible, before going ahead.