As robots become more fully interactive with humans during the performance of our day- to-day activities, the role of trust and bias must be examined more carefully. Trust conveys the concept that when interacting with robots, humans tend to exhibit similar behaviors as when interacting with other humans, and thus may misunderstand the risks associated with deferring their decisions to a robot. Bias further impacts this potential risk in that these robotic systems are learning by mimicking our own thinking processes, inheriting our own implicit human biases. In this talk, we will discuss this phenomenon through the lens of robots that interact with people in scenarios that are realizable in the near-term such as in healthcare.