Calculate the expected payoff for the following cases, where q1 and q2 are the probabilities of state 1 and 2, respectively. 
Definitions:
Spherical Follicles
Round-shaped structures, especially those found in the ovary that contain immature eggs in females.
Thyroid Gland
An endocrine gland located in the neck, which produces hormones like thyroxine and triiodothyronine, regulating metabolism and energy use.
Antagonistically
In a manner opposing or inhibiting the action of something, often referring to muscles or drugs working opposite to each other.
Insulin
A substance secreted by the pancreas that controls blood sugar levels.
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