I depends on the rabbit, as the others said - it's also really hard to tell how it's gonna turn out because most babies are friendly and tolerate being handled but their personality can completely change when hormones kick in. It also depends a lot on the way you keep them. If you spay / neuter your rabbit and let them free-range in the house (or part of it) at least during the day you have better chances of having a friendly rabbit than if you let them stew in their hormones and cage 24H-24. Just make sure you have the money (neutering cost a bit) and are willing to bunny-proof at least a room... and be prepared to get some of your possessions damaged anyway.
With rabbits establishing trust necessitates patience. It can take years for them to trust you completely. I think I got a really hard case with Aki, who was born in a warren in a garden and definitely acts like a wild rabbit (she is really skittish and has crazy accurate survival instincts - she escaped a cat, a dog and would never eat anything she doesn't know). When she feels alright, she's pretty distant but she trusts me enough to let her pet her and she relies on me when she feels bad (when her previous husbunny died, she stayed glued to me for weeks and I thought it was just awful and sad, and when she's ill, she let me handle her easily). I know that wouldn't be an ideal pet for most people but I feel honored for her trust and value it even more considering it took years for her to stop getting up when I came close to her and conquering her fleeing instinct. She's the most difficult pet I've had and she's my favorite.
I've had 3 rabbits, currently have two. You can pet all of them when they feel like it.
But you definitely can tell when it's someone they know going into the room - you won't see an ear or tail if there is someone they don't know into the house. Rabbits don't like strangers much in my experience.
Just, please, make sure you have the money to take care of the rabbit before adopting one. I can't even say how many times I've seen threads beginning with "My X month old rabbit has seizures / is peeing blood / is losing his balance / bites... but I don't have the money to take him to the vet" on this forum. Pets get ill and rabbits aren't cheap to keep (just fresh vegetables, hay and pellets is a budget). Also, rabbits can live 10+ years old so it's a long term commitement.
If nothing here scares you, go see the house rabbit society website to know the basics :
http://rabbit.org/