A medical researcher wants to test the efficacy of a drug for a population that has a certain health condition. With exercise only, 35% of both types get better. The drug does not help type A patients but increases the percentage of type B patients who recover to 75%. The researcher does not know this information and conducts an experiment to attempt to uncover it. Assume everyone who has this particular condition and is participating in the research exercises - 50% of participants are Type A, and the rest are Type B. What percentage of people with the health condition is expected to recover if no one receives the drug? What would the percentage be for those expected to recover if everyone with the condition receives the drug? Round all final results to two decimal digits. What is the percentage increase in the probability of recovery due to the drug for the population at large?