If the answer above is None it means there is no specific mention in the legislation, but you still need to ask local law enforcement before drinking in Bahamas.
It is prohibited for any adult to sell, serve or supply any alcohol beverage to a child (defined as anyone under the age of 18 years). The law provides an exception to treat an illness in urgent cases or upon order by a medical doctor.
You can find more legal details and links here:
Wikipedia Legal Drinking Page