Even if you’re careful about cookies or even if you use your browser’s private surfing feature, sites can still track you through cookies stored by Flash. However, soon enough the next version of Flash, 10.1, will support private browsing and will integrate with browsers to turn it on when the browser itself is in private browsing mode. Browsers still store data during a private browser session, but they will delete it all at the end of the session. The same will be true of Flash private browsing.
Another Flash news: Finally, a little bit of respect from Adobe with this alpha release of the Adobe Flash Player 10 that was made available for all Linux 64-bit enthusiasts! As noted, ‘this is a prerelease version,’ so handle with care. Just remove any existing Flash player and extract the new .so file in /usr/lib/mozilla/plugins (or /usr/lib/opera/plugins).