That's a mouthful.
I'm running on an i686 architecture with a 32-bit processor, and I'm using a fully updated Firefox, more or less. I was able to install Adobe Flash 10 successfully, and I can load, manipulate, and access flash programs without incident. However, if I am running a flash program on one tab, and then in another tab I load another program (say an advertisement), the original program crashes.
Why this is annoying:
I will listen to a song on YouTube, and open another tab to browse. A flash advertisement will crash the YouTube video. The video's viewing area turns white/gray and requires a refresh of the page - not a restart of the browser - to work properly. The only add-ons I installed are Firebug and FireFTP.
Apologies if this has already been answered. A quick search revealed a lot of problems when installing, and not exactly running, Adobe Flash.