In: Statistics and Probability
Please ignore the part where I wrote the probability of choosing a physician =1/77
That part does not add anything to the solution and I didn't strike it off because it'd damage the aesthetic of the script.
Baye's theorem states that, if A1, A2, A3...An are mutually exclusive events such that A1UA2U A3U...An = S(sample space) and let B be any event from the sample space S, then P(Ai/B) = P(B/Ai)/∑ni=0[P(B/Ai)P(Ai)]