TABLE 17-1
the Following Payoff Table Shows Profits Associated with a Set

TABLE 17-1
The following payoff table shows profits associated with a set of 3 alternatives under 2 possible states of nature.
$\begin{array}{llcc} \text {States } &\text { A1 }&\text { A2 }&\text {A3 }\\\hline1&12&-2&8\\2&4&10&5\end{array}$


$\text {where:}$$\quad$$\quad$ $\text {S1 is state of nature 1 }$$\quad$$\text {A1 is action alternative 1}$
$\quad$$\quad$$\quad$$\quad$$\quad$$\text {S2 is state of nature 2}$$\quad$$\text { A2is action alternative 2}$
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text {A3 is action alternative3 }$

-Referring to Table 17-1, if the probability of S1 is 0.5, what is the expected profit under certainty (EPUC ) ?

A) 11
B) 5
C) 8
D) 3