A Farmer Has a Choice of Growing Wheat, Barley, or Rice

Multiple Choice

A farmer has a choice of growing wheat, barley, or rice. Her success will depend on the weather, which could be dry, average, or wet. Her payoff matrix is as follows. $\begin{array}{|l|lrcr|}\hline & {\text { Weather }} \\\hline & & \text { Dry } & \text { Average } & \text { Wet } \\\text { Crop Choices } & \text { Wheat } & 20 & 20 & 10 \\& \text { Barley } & 10 & 15 & 20 \\& \text { Rice } & 10 & 20 & 20\\\hline\end{array}$ If the probability that the weather will be dry is 50%, the probability that it will be average is 10%, and the probability that it will be wet is 40%, what is the farmer's best choice of crop

A) Barley
B) Barley and Rice
C) Wheat
D) Wheat and Barley
E) Rice