In solving a sensitivity analysis problem in a decision theory problem with 2 random outcomes and three decisions, the final result will depend on which random outcome's probability was plotted on the Xaxis.

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In sensitivity analysis for decision theory problems, the final result or optimal decision is determined by analyzing how changes in the probabilities of outcomes affect the decision, not by which outcome's probability is plotted on the X-axis. The analysis helps to understand the robustness of the decision against changes in the probabilities of outcomes.

In Solving a Sensitivity Analysis Problem in a Decision Theory