The potential synergistic effect of administering 2 dengue vaccine candidates that were previously shown to be safe and immunogenic in humans will be evaluated in this study. A prime-boost study of tetravalent dengue virus purified inactivated vaccine (TDENV-PIV) with the GSK AS03B adjuvant and tetravalent dengue live attenuated virus (TDENV-LAV) vaccine Formulation 17 (F17) will gather data to help better understand the human immune response to dengue vaccination and infection.