The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature.

Decision Alternative	States of Nature
	s1	s2	s3
d1	270	120	45
d2	120	120	95

Suppose that the decision maker obtained the probabilities

P(s₁) = 0.65, P(s₂) = 0.15,

and

P(s₃) = 0.20.

Use the expected value approach to determine the optimal decision.

EV(d₁)=

EV(d₂)=

The optimal decision is ? d d .