Google Confirms NO Flash for Ice Cream Sandwich, yet

If you are an owners of the Galaxy Nexus in these first days of its release complete with the first iteration of Ice Cream Sandwich, you will notice that you do not have Adobe Flash Player installed, and You do NOT have access to download it on the Android Market, Google has just confirmed with us that this is normal and that Flash support will only come once Adobe makes the call to update the mobile version for Android 4.0. You currently will not have the ability to load either a new version or one of the older versions of Flash Player for Ice Cream Sandwich until Adobe makes the call to update their app to be compatible with this newest version of Android.

Google had the following to say:

"Flash hasn't been released for ICS yet so as far as we know, Adobe will support Flash for ICS."