Inclusion Criteria:

          -  Histologically or cytologically confirmed diagnosis of previously untreated, locally
             advanced unresectable or metastatic HER2 positive gastric or GEJ adenocarcinoma

          -  HER2-positive defined as either immunohistochemistry (IHC) 3+ or IHC 2+ in combination
             with in-situ hybridization positive (ISH+) or fluorescent in-situ hybridization
             (FISH), as assessed by central review on primary or metastatic tumor

          -  Has measurable disease as defined by RECIST 1.1 as determined by the site investigator

          -  Male participants must agree to use approved contraception

          -  Female participants who are not pregnant or breastfeeding, and who are either not a
             woman of childbearing potential (WOCBP), or are a WOCBP who agrees to use approved
             contraception

          -  Has a performance status of 0 or 1 on the Eastern Cooperative Oncology Group (ECOG)
             Performance Scale within 3 days prior to the first dose of trial treatment

          -  Has a life expectancy of greater than 6 months

          -  Has adequate organ function

        Exclusion Criteria:

          -  Has had previous therapy for locally advanced unresectable or metastatic gastric/GEJ
             cancer

          -  Has had major surgery, open biopsy or significant traumatic injury within 28 days
             prior to randomization, or anticipation of the need for major surgery during the
             course of study treatment

          -  Has had radiotherapy within 14 days of randomization

          -  Has a known additional malignancy that is progressing or has required active treatment
             within the past 5 years

          -  Has known active central nervous system (CNS) metastases and/or carcinomatous
             meningitis

          -  Has an active autoimmune disease that has required systemic treatment in past 2 years

          -  Has a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy

          -  Has a history of (non-infectious) pneumonitis that required steroids or current
             pneumonitis

          -  Has a known history of active tuberculosis (TB; Mycobacterium tuberculosis)

          -  Has an active infection requiring systemic therapy

          -  Has poorly controlled diarrhea

          -  Accumulation of pleural, ascitic, or pericardial fluid requiring drainage or diuretic
             drugs within 2 weeks prior to enrollment. If the participant is receiving diuretic
             drugs for other reasons, it is acceptable

          -  Has a history or current evidence of any condition, therapy, or laboratory abnormality
             that might confound the results of the trial, interfere with the participant's
             participation for the full duration of the trial, or is not in the best interest of
             the participant to participate, in the opinion of the treating investigator

          -  Has peripheral neuropathy > Grade 1

          -  Has a known psychiatric or substance abuse disorder that would interfere with
             cooperation with the requirements of the trial

          -  A WOCBP who has a positive urine pregnancy test within 24 hours prior to randomization
             or treatment allocation

          -  Has active or clinically significant cardiac disease

          -  Has a known history of Human Immunodeficiency Virus (HIV) (HIV 1/2 antibodies)

          -  Has a known history of Hepatitis B (defined as Hepatitis B surface antigen [HBsAg]
             reactive) or known active Hepatitis C virus (defined as HCV RNA [qualitative] is
             detected) infection

          -  Has severe hypersensitivity (≥Grade 3) to pembrolizumab, trastuzumab, study
             chemotherapy agents and/or to any excipients, murine proteins, or platinum-containing
             products

          -  Has had an allogeneic tissue/solid organ transplant

          -  Has received prior therapy with an anti-PD-1, anti-PD-L1, or anti PD L2 agent or with
             an agent directed to another stimulatory or co-inhibitory T-cell receptor (e.g.,
             cytotoxic T-lymphocyte-associated protein 4 [CTLA-4], OX 40, Cluster of
             Differentiation 137 [CD137])