you can see adobe falsh player roadmap here and according to this blog post
” Android 4.1 this is no longer going to be the case, as we have not continued developing and testing Flash Player for this new version of Android and its available browser options. There will be no certified implementations of Flash Player for Android 4.1.
Beginning August 15th we will use the configuration settings in the Google Play Store to limit continued access to Flash Player updates to only those devices that have Flash Player already installed. Devices that do not have Flash Player already installed are increasingly likely to be incompatible with Flash Player and will no longer be able to install it from the Google Play Store after August 15th. ”