A doctor prescribed two categories of pills A and B to a patient, to be taken over the course of three days. The patient has to take one category A pill and one category B pill every day or else he’d die. The patient mixes up the two pills. The pills looks exactly the same, smell the same and cannot be differentiated in any way, shape or form. What is the probability that the patient dies on day 1? What is the probability that the patient survives?