Refer to the Following Payoff Table

Multiple Choice

Refer to the following payoff table:

There is an option of paying $100 to have research done to better predict which state of nature will occur. When the true state of nature is S1, the research will accurately predict S1 60% of the time. When the true state of nature is S2, the research will accurately predict S2 80% of the time.
What is the posterior probability of S2 given that the research predicts S2?

A) 0.18
B) 0.44
C) 0.57
D) 0.65
E) 0.82