Would it be rational for an agent to hold the three beliefs P(A) = 0.4, P(B) = 0.3, and P(A V B) = 0.5? If so, what range of probabilities would be rational for the agent to hold for A A B? Make up a table like the one in Figure 13.2, and show how it supports your argument about rationality. Then draw another version of the ttable where P(A V B) = 0.7. Explain why it is rational to have this probability, even though the table shows one case that is a loss and three that just break even. (Hint: what is Agent 1 comnlitted to about the probability of each of the four cases, especially the case that is a loss?)