actions vs words

so i fucked up.. let someone down in a very dramatic way.
It is not in my nature to apologize for my actions.. the words "im sorry" are rarely spoken. the words "i apologize" are spoken more but also dependant on the situation... more often for my careless actions.

In this situation: "i apologize, in the most sincere way".

But on the same token, I don't expect they care for my apologies...as usually i don't care for someone elses. I accept apologies all the time, but in the sense that i say, ok lets move forward. forget and forgive is an easy notion for me.

But as I vowe never to do this to this person again, i wonder if they'll ever even give me that chance... for redemption.