Calculate the expected payoff for the following cases, where q1 and q2 are the probabilities of state 1 and 2, respectively. 
Definitions:
Possible Selves
The component of the self-concept that includes individual visions of what one might become, what one would like to become, and what one is afraid of becoming.
Declarative Selves
The aspect of an individual's self-concept that consists of conscious knowledge or descriptions of one's own characteristics, relationships, and experiences.
Procedural Selves
The aspects of self that are concerned with patterns of behavior, habits, and routines that are learned and executed without conscious awareness.
Ought Self
Represents an individual's understanding of what others expect them to be, encompassing the obligations and responsibilities perceived from the external environment.
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