This is a randomized, active-controlled, double-blind clinical study designed to evaluate the antiretroviral activity, safety, and tolerability of doravirine/islatravir (DOR/ISL \[MK-8591A\]) in treatment-naïve participants with human immunodeficiency virus type 1 (HIV-1) infection. It is hypothesized that DOR/ISL is non-inferior to bictegravir/emtricitabine/tenofovir alafenamide (BIC/FTC/TAF) as assessed by the percentage of participants with HIV-1 ribonucleic acid (RNA) \<50 copies/mL at Week 48.