A Study of MK-8527 to Prevent Human Immunodeficiency Virus Type 1 (HIV-1) (MK-8527-010)

Researchers are looking for new medicines to prevent HIV-1 (Human Immunodeficiency Virus Type 1) infection. The goals of this study are to learn: * If taking MK-8527 once a month works to prevent HIV-1 infection better than a standard (usual) pre-exposure prophylaxis (PrEP) taken once a day * About the safety of MK-8527 and if people tolerate it

Inclusion Criteria: The main inclusion criteria include but are not limited to the following: * Is confirmed Human Immunodeficiency Virus (HIV)-uninfected based on negative HIV-1/HIV-2 test results * Has been sexually active (2 vaginal intercourse encounters with cisgender male individual(s) within the last 3 months) * Was assigned female sex at birth and is cisgender. * Weighs ≥35 kg Exclusion Criteria: The main exclusion criteria include but are not limited to the following: * Has hypersensitivity or other contraindication to any component of the study interventions * Has evidence of acute or chronic hepatitis B infection * Has a history of malignancy within 5 years of screening except for adequately treated basal cell or squamous cell skin cancer, or in situ cervical cancer * Has taken cabotegravir, lenacapavir, or any other long-acting HIV prevention product at any time * Is receiving or is anticipated to require any prohibited therapies from 30 days prior to Day 1 through the study duration * Has received an HIV vaccine at any time (ie, through past participation in an investigational clinical study) or monoclonal antibodies to HIV within 12 months before Day 1