Does installing flash player as a plug in also update the version of flash player used by the installed Adobe AIR runtime? How can the version of flash player used by the installed Adobe AIR run time be determined?
No. AIR has its own captive version of the plug-in, which is only updated when the AIR runtime is updated. To detect which version is used, I think you would have to run a small SWF in an HTMLLoader control that reported the value of Capabilities.version.