A doctor knows that the disease Meningitis causes a patient to have a stiff neck say 70% of time. The doctor also knows some unconditional facts: the prior probability that any patient has Meningitis is 1/50,000 and the prior probability that any patient has a stiff neck is 1%. Letting s be the proposition that the patient has a stiff neck and m the proposition that the patient has meningitis, compute the probability P(m/s) using Bayes' rule.

1. A.014
2. B.0014
3. C.14
4. D.00014

Pick an option to check yourself, or open the answer below.