Riding the subway means that as a white New Yorker, you will twice a day share a room with a black person. Whether you interact with them is another story - I'd venture that most people never say a word to anyone in the subway. To understand (likelihood of) interaction, neighborhood maps are one piece of the story, as would be (as mentioned elsewhere in the thread) workplace data.

I hardly talk to my neighbors too. I do most talking with my friends and coworkers.

But you are also likely to live in the same neighborhood as your friends. So while living in a racially diverse neighborhood may not cause you to interact with people of other other races, it may be indicative if your group of friends is racially diverse.