Final answer:
The correct term for the type of healthcare reimbursement that covers prescribed expenses under a supplementary major medical policy is private health insurance, including both employment-based and direct-purchase options.
Step-by-step explanation:
The type of healthcare reimbursement that pays for prescribed expenses, such as prescriptions, when the patient is covered by a supplementary comprehensive major medical policy, is referred to as private health insurance. This insurance can be categorized as either employment-based or direct-purchase. Employment-based insurance is typically provided in part by an employer and covers the employee or the employee and their family. Direct purchase insurance is when an individual buys coverage directly from a private company. Private health insurance plans commonly include a deductible, co-insurance payments, and co-payments for medical services.