Calculate the expected payoff for the following cases, where q1 and q2 are the probabilities of state 1 and 2, respectively. 
Definitions:
Autonomy
The right or condition of self-government; in ethics, it often pertains to an individual's capacity to make informed, uncoerced decisions.
Sense of Trust
A feeling of confidence and security in the predictability and reliability of a person, situation, or environment.
Spread of Infection
The process by which infectious agents, such as bacteria or viruses, are transmitted from one individual or surface to another, potentially causing disease.
Auscultate
The act of listening to the internal sounds of the body, typically with a stethoscope.
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