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The EMV of a Decision with Three States of Nature

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The EMV of a decision with three states of nature is $33,000. If the profit/value under the states of nature A, B, and C is $10,000, $20,000, and $50,000 and states B and C have equal probabilities, determine the likelihood of state of nature A.

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10*X+20*(.5-X/2)+50*...

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