 Non-child-bearing potential either defined as post-menopausal 12 months of spontaneous amenorrhea and 45 years of age or physically incapable of becoming pregnant with documented tubal ligation, hysterectomy or bilateral oophorectomy or, Child-bearing potential with a negative pregnancy test at both Screening and Day 1 and agrees to use one of the following methods of contraception to avoid pregnancy: Complete abstinence from intercourse from 2 weeks prior to administration of study drug, throughout the study, and for at least 2 weeks after discontinuation of all study medications; Male condomspermicide, male condomdiaphragm, diaphragmspermicide; Any intrauterine device with published data showing that the expected failure rate is 1 per year; Male partner sterilization prior to the female participants entry into the study and this male is the sole partner for that participant; Approved hormonal contraception for participants randomly assigned to DTG RPV arm or approved hormonal contraception plus a barrier method for participants assigned to CAR; Any other method with published data showing that the expected failure rate is 1 per year. 