When a patient goes to hospital with chest pains, doctors must quickly make a decision about whether the patient is having a heart attack. Their decision has to be based on a few visible symptoms, none of which are conclusive. Define the sample space

Ω = {patients with chest pains}, and event H = {patient is having a heart attack}.

Which of the following calculations would you use to support the doctors in their decision?

a. Use the partition theorem to find the probability of H by partitioning across symptoms.

b. Find the conditional probability of H given the observed symptoms, based on outcomes from previous patients.

c. Use Bayes’ theorem to find the probability that a heartattack patient has the symptoms present.

d. Find the intersection probability for H and the observed symptoms.