If you have both buttons on page, what is more likely to get clicked? And at what ratio?

It depends on what website/business you are promoting.

If you have a site that has quite a social aspect to it, it gets a quite a few likes and shares. I find that I get a lot more likes than shares though, maybe it is because people are more used to seeing the Facebook like symbol so it seems more friendly, who knows lol

I guess that is a good thing in a way because it helps you build a social page where you can stay in contact with your visitors.

Would like to know about other peoples experiences though

I don't think there is any actual figures on these two.

It would be interesting if anyone could find some stats

I would think it'd be the same as for normal facebook pages, you could say probably one share for every 500-1000 likes.

It's much easier and quicker to just hit 'like' than it is to share something, and it doesn't take up any space on your wall so won't get in the way.

Its gotta be share doesn't it?

Definitely the like button. It is a lot more innocuous.

Well according to my opinion it is much easier to hit like button as compared to share button because people are more friendly to this.