A vehicle includes a planetary gear set, a gearbox, an electric machine, and an engine. The planetary gear set has a sun gear, a carrier, and a ring gear. The gearbox is configured to transmit power from the ring gear to vehicle wheels. The electric machine is fixedly coupled to the sun gear. The engine is selectively coupled to the ring gear via a first selectable one-way clutch and selectively coupled to the carrier via a second selectable one-way clutch.