Calculate the expected payoff for the following cases, where q1 and q2 are the probabilities of state 1 and 2, respectively. 
Definitions:
Service
An intangible act or use benefit provided by one party to another that does not result in ownership of anything.
Position
The place a brand or product occupies in the consumers' minds relative to competitors, often based on attributes, benefits, perceptions, or reputation.
Market Penetration
A measure of the extent to which a product or service is recognized and bought by customers in a particular market.
Precious Gems
Rare, naturally occurring minerals that are considered valuable and are used in jewelry for adornment and investment.
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