[edited by: Marcia at 4:03 pm (utc) on Nov. 8, 2007]
Back to the main question - I mostly use Firefox, and every now and then, I'll come across sites that just don't work well with FF. I think people place a priority on getting things to work smoothly in IE before any other browser, which makes sense since more than 75% of our traffic is using IE...I wonder if it's the same case with google (ha, favoring a microsoft product).
One weird thing that I've noticed adwords do when I'm doing a search using FF - let's say I do a search for "televisions," and my ad for televisions is displayed. Then, I'll do a search for something totally unrelated to the previous search (but still a keyword in our account), like "shoes." Adwords will show our televisions ad again, maybe even twice in a row before it gets the right ad up.
[...] I've noticed that searches from my firefox browser show completely different ads and even the order of the ads than searches from IE.
As an aside, it's probably worth mentioning that it's also possible to see different ads and/or different ad order on consecutive searches in the same browser - as the competitive tide ebbs and flows.
AWA
Now later I went back and both were showing the same. So I'm inclined to believe that Google is experimenting.