I finally got flash player to run today after several hours of frustration. Even after installing the latest version of Flash, enabling Flash add-ons, deleting Flash browsing data, and installing and uninstalling flash about 20 million times, could not get it to work. I used the uninstaller and followed all guidance I could find. It turns out the Adobe guidance is what led me astray. See Adobe guidance @ http://helpx.adobe.com/flash-player/kb/flash-player-games-video-or.html especially item 2 under "Solutions" regarding ActiveX filtering.
Sheer trial and error, I stumbled accross a solution.
My system config is:
Operating system: Windows 7 Pro
Browser: Internet Explorer 10; NOT using google Chrome.
The fix was was to uncheck the Active-X filtering from within IE10 (click on Safety and then uncheck Active-X filtering). In my case, Active-X filtering had to be turned off regardless of the fact I am running IE10, not IE9. The mode IE10 was running in did not matter either - 2010 mode, 9 mode, compatibility mode. Flash would not run in any mode until Active-X filtering was turned off. Adobe guidance only points you disabling Active-X settings when running IE9; does not indicate that ActiveX needs to be disabled when running IE10.