President Obama -- Loves Slavery Movies & Kevin Hart ... Sony Execs Joke in Leaked Emails

10:00 AM PT -- Rudin is now apologizing, saying ... "Private emails between friends and colleagues written in haste and without much thought or sensitivity, even when the content of them is meant to be in jest, can result in offense where none was intended. " He adds the comments were insensitive and not at all funny -- and he is "profoundly and deeply sorry" to anyone he offended.

For her part, Pascal says even though the private emails were stolen ... she accepts full responsibility for what she wrote ... and apologizes for the comments.

Neither apologized for the Angelina Jolie comments.

President Obama just loves him some slavery movies, and don't get him started on Kevin Hart -- that's what a couple of Hollywood power players joked about anyway -- in new leaked emails.

In the exchange ... Sony Pictures honcho Amy Pascal asks blockbuster producer Scott Rudin for advice on small talk with the prez at a fundraiser, saying ... "Should I ask him if he liked DJANGO?"

Rudin replied, "12 YEARS" ... and Pascal fired back ... "Or the butler. Or think like a man?"

The racially charged email convo, first published by Buzzfeed, wraps up when Rudin says ... "Ride-along. I bet he likes Kevin Hart."

At least Obama's in good company -- the hackers already leaked Sony Pictures emails ripping Angelina Jolie, Michael Fassbender, and Hart.

Rudin and Pascal never mentioned a Madea movie though. Sorry, Tyler Perry.