If the wife is a joint tenant with right of survivorship, yes it will trump the will. Property under joint tenancy is not part of the decedent's estate.
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If the will is joint tenants with right of survivorship (as opposed to tenants in common) that controls over the Will.
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It depends on whether the name is on the deed as a joint tenant, or as tenants in common. Tenants in common hold a specific percentage interest in the house. Joint tenants assume total ownership upon the death of the other joint tenant.