Use Simpson's Paradox to solve the following question

A pharmaceutical company has manufactured two drugs for the cure of a disease. A survey was conducted to compare the performances of the two drugs. The details of the survey are as follows:

Drug A was given to 1000 patients, out of which 100 were in critical condition. The drug successfully cured 810 patients, out of which 10 were in critical condition.

Drug B was given to 1500 patients, out of which 500 were in critical condition. The drug successfully cured 1000 patients, out of which 100 were in critical condition.

a. Which drug has the highest success rate for patients in critical condition? Justify.

b. Which drug has the highest success rate for patients that are not in critical condition? Justify.

c. Which drug has an overall higher success rate? Justify.

d. Which drug would you recommend to a patient to go for? Does your recommendation differ for a critical and a non-critical patient? Justify.