Calculate the expected payoff for the following cases,where q1 and q2 are the probabilities of state 1 and 2,respectively. 
Definitions:
Humanistic Therapies
A group of psychotherapies that emphasize personal growth and self-actualization, focusing on the individual’s experience and the potential for self-healing.
Personal Growth
The process of improving self-awareness, developing talents, enhancing quality of life, and contributing to the realization of dreams and aspirations.
Self-fulfillment
The realization or achievement of one's talents and potentialities, often considered as a drive or need present in everyone.
Active Listening
involves fully concentrating, understanding, responding to, and remembering what is being said in a conversation.
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