A Study to Assess Safety of Relatlimab With Ipilimumab in Participants With Advanced Melanoma Who Progressed on Anti-Programmed Cell Death Protein 1 (Anti-PD-1) Treatment

Inclusion Criteria: * Must have documented progression while on a prior anti-programmed cell death protein 1 (PD-1) containing regimen limited to Nivolumab or Pembrolizumab * Must have histologically confirmed advanced unresectable (Stage III) or metastatic (Stage IV) melanoma, as per (AJCC) staging system * Tumor tissue from an unresectable or metastatic site of disease must be provided for biomarker analyses * Eastern Cooperative Oncology Group (ECOG) 0-1 Exclusion Criteria: * History of uveal melanoma * Known history of positive test for human immunodeficiency virus (HIV) or known acquired immunodeficiency syndrome * Prior treatment with ipilimumab, relatlimab, or any other cytotoxic T-lymphocyte-associated antigen 4 (CTLA-4) or lymphocyte-activation gene 3 (LAG-3) targeted agents