This error is caused by some incorrect installer registry values for the Adobe Flash Player. To correct this you should remove all installed versions of Adobe Flash Player through Control Panel. All ActiveX/Plugin and x86/x64 versions must be uninstalled. Then reinstall the software. If it didn't work, try the same procedure but with the help of Revo Uninstaller. If you still experience the same error you should do some manual adjustments to the registry. Open the registry editor (regedit.exe) and navigate to HKEY_CLASSES_ROOT\Installer\Products. The sub-keys of this registry key contains the installer registry settings for the software installed on your computer.
Each program installed is represented with a unique GUID, which will make it hard to find the Adobe Flash Player entries. The GUID key even differs between the Flash versions.
You should use Find (CTRL+F) in the HKEY_CLASSES_ROOT\Installer\Products
key to search for Adobe Flash and delete the corresponding GUID keys as there could be more than one entry for Adobe Flash Player. After deleting close the editor. the installation should be correct now.