14.4 Would it be rational for an agent to hold the three beliefs P(A) = OA, 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 Bl Make up a table like the one in Figure 14.3 and show how it supports your argument about rationality. Then draw another version of the table 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 committed to about the probability of each of the four cases, especially the case that is a loss?)