One thing I meant to add; a house to me is a bit different than say money or investments. A house can be left behind with the thought that the individual is going to continue to live in it. You cannot really split it up if the intention is to leave it so it stays in the family.
I have a friend who inherited a family cabin. The intention was to leave it to the children evenly so that it would stay in the family and everyone could enjoy it. The real issue is now that it has been handed down to so many levels, no one really owns it. Each has a small percent ownership. Some do not contribute financially to taxes or upkeep and never go visit it. They are unwilling to give up their share and no one has offered to buy them out. It is kind of messy and causes a situation where upkeep is minimal.
So if the intention is that you want to keep the house in the family then it is very reasonable to leave it to the son most likely to do so. Otherwise you end up in a situation where the one son may want to live in it, but does not have the finances to buy out his brothers and it ends up being sold and the assets from the sale are split; or a situation like my friend where it is just upkept enough.