Sorry. Unless the kids were also on title and there was a right of survivorship mentioned in the deed, the property title transferred to the estate of the deceased and now must go through probate. Even assuming the kids asking the question are the only ones who might inherit with or without the will, it still must go through the process. Depending on its value though, the heirs might be able to just file some affidavits to complete a small estate probate, but either way, the kids wanting to sell really should consult with an attorney experienced in estates.
Please keep in mind that this is not intended to create an attorney/client relationship. These are only general comments made without all the critical facts needed to fully form an opinion.
If the children are the rightful heirs via intestacy or a will, they can sell the house with the help of an attorney by working with a title company that will insure the title. A probate is not required to do this. However in some situations you might want to probate. You need to talk to an attorney experienced in this area to determine the best solution. Don't attempt to sell the house without proper legal advice. http://www.portlandlegalservices.com
The comments by this author to questions posted on Avvo are designed to foster a general understanding of what might be the law governing the area of the legal problem stated and suggest what might be the approach to finding a legal solution. Under no circumstances is this author acting as the attorney for the party who posted the question or as the attorney for subsequent readers to the question or response and no attorney client relationship is being formed. This attorney's comments are not intended to be a substitute for getting legal advice from a licensed attorney. A reader of this author's comments should never act on the information provided in these comments as though these comments were legal advice and should always seek legal advice in a personal consultation with an attorney in their jurisdiction before taking action. The information provided here is not intended to cover every situation with similar facts. Please remember that the law varies between states and other countries and is always changing through actions of the courts and the Legislature.