Calculate the expected payoff for the following cases, where q1 and q2 are the probabilities of state 1 and 2, respectively. 
Definitions:
Oxygen Balance
A concept in chemistry indicating the relative amount of oxygen available for reactions, important in evaluating the explosive potential of chemicals.
RDX
An abbreviation for Royal Demolition Explosive or Research Department Explosive, a highly energetic nitroamine used as an explosive.
Positive
Exhibiting or characterized by a beneficial, affirmative, or constructive quality or attribute.
TNT
Trinitrotoluene, a yellow, odorless, explosive material used commonly as a high explosive.
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