It will go through probate court and you'll all receive 1/3 of her total estate (house/car/bank account/investments/etc). If your sisters are nice, they may be willing to give up part of their share in light of your care for your mother or may be amenable to greater shares of the cash in exchange for letting you keep all of the house. If they aren't nice, you'll be forced to liquidate all the assets and split the cash three ways.
If you're concerned they may be...not nice...decide how much that is worth to you now rather than in the heat of the moment. If your sisters are hellspawned harpies, you may be willing to blow up the family in an estate fight. Or you may prefer to maintain your relationship with them over receiving a dime, or somewhere in the middle.
LPT: Write a will. Put a POD on your bank account. Explicitly declare beneficiaries on your accounts. Leave a way to get access to your phone and passwords if you die (even if that's a safe deposit box where you have to show up with a death certificate). Dont do what OP's mom did and leave everything in probate limbo for +6 months and thousands of dollars in court costs.
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