Why would children of a deceased parent let house go to the bank?

[Shawn McGarity]

Hello Bigger Pockets Community.  This is my first post!  I am very new to real estate.  I have just been reading and listening to the podcasts as much as possible, trying to educate myself.  I have a question tho...

There is a single family home in my neighborhood where the elderly woman recently passed away :(.  She lived there alone.  My girlfriend and I were walking and ran into the son and daughter of the woman who passed away packing up the home.  We passed along our condolences.  The topic of what they were going to do with the house came up and the daughter said they probably will just let the house go to the bank.  Now I am assuming they are heirs to the property (this would obviously have to be confirmed and make sure there are no other liens on the home), but what would be the benefit of the son and daughter to just let the home go to the bank?  The son and daughter would get nothing for the house, correct?  If this is the case, this would most likely be a great opportunity to potentially get a good deal on the house if I made the daughter and son an offer rather than just let it go to the bank.  

Any help, advice, or enlightening on this topic would be more than appreciated!!!