For the purpose of intestate succession a person born out of wedlock is a descendant of his or her mother and is one of the natural kindred of all members of the mother’s family. The person is also a descendant of his or her father and is one of the natural kindred of all members of the father’s family, if:
(a) The natural parents participated in a marriage ceremony before or after the birth of the person born out of wedlock, even though the attempted marriage is void.
(b) The paternity of the father is established by an adjudication before or after the death of the father. Chapter 95 shall not apply in determining heirs in a probate proceeding under this provision.
(c) The paternity of the father is acknowledged in writing by the father.