Married parents have equal parental rights. They share legal custody.
In the United States both parents have equal rights of custody of the child if they are legally married.
If the child is a minor in the state of Utah and the parents of the child have never been married then both parents are awarded equal custody. However, if there's a reason why one parent cannot care for the child, then the parent who is capable of caring for the child is awarded custody.
The mother. The father have to apply for visitation and custody in court.
If the parents have never married and live separately with their own parents, a court would need to decide on custody. Typically, the court will place the child with the mother, but the best interests of the child are primary.
You're married now and both parents have equal parental rights.
If the parents are married and the child is a minor the answer is yes. If the parents are divorced or never married, the parent(s) with legal custody can make that decision.
If the parents are going to split up, one needs to file with the courts to define custody, child support, visitation, etc.
The biological mother has presumptive custody, at least until a custody order is hammered out in court.
Not without the permission of the child's biological mother. When a couple are not married and there is not a custodial order from the court, the law presumes that the mother has sole custody of the child in question.
With the court's permission, if the parents are not married. Single fathers have no assumed rights to a child. Married parents have equal rights to the child until otherwise ruled on.
mother has sole custody even if living with father
The mother. The father have to petition the court for custody or visitation right.