Actually I have a current Nexus 7 Jelly Bean and no flash support.
Yeah, Adobe has basically decided not to do Flash for new mobile devices anymore.
A big problem with Flash was its own overreach. They wanted it to be more than a multiplatform multimedia/game platform. They wanted it to be a full app development platform- you could do videoconferencing through it, share files through it, do anything you do with applications on the desktop, essentially. It also wasn't efficient-- not a problem on a plugged-in PC, but even laptop users noticed well before Mobile how quickly using flash unplugged drained their battery (as if the wireless wasn't a drain enough.)
So, in very little time, flash developed interfaces to videocameras and microphones and the localfilesystem and some of us that developed in it started to wonder if we could (for example) access any file in the filesystem and upload it to wherever we'd like... and we could... Could we unwittingly turn in the mic and stream it? yep. Could we hide flash in an off-screen window, hidden to the user, and have their entire screen activity, video, and audio stream to wherever we'd like? Done. Adobe patched a ton of this, so don't panic and run to uninstall it, but since each of these had a legitimate purpose too, each patch had to keep the functionality while putting some sort of barrier in place to prevent the abuse. People would figure out what the barrier was, figure out how to get around it, and another barrier was put in place. It was starting to get reasonably secure near the end, but all these patches added to the platform's bugginess.
By the time Apple's security decision came out, flash wasn't the security hole they made it out to be, but it had enough of a reputation there that Apple was able to make it stick. It was still inefficient, and using it would quickly drain a mobile device's battery (and overheat the device) so Apple had a legitimate grouse there. The biggest threat to apple was its versatility, though. Anyone could develop anything for flash to do exactly what an app would do and then bypass apple's store completely. They point fingers elsewhere, but that is one of the core concerns they had.
Adobe still developed for Android, and there was a lot of hype given to that. It DID still drain batteries like crazy, but I could go to Kongregate and play flash games on it rather well. There, the problem was that to get full flash functionality on these mobile devices, it needed to be developed for each system to account for those systems' different hardware and proprietary drivers. It just wasn't feasible to keep up, so they declared that they'd not make flash for any new Android devices earlier this year.