1 Would it be rational for an agent to hold the three beliefs P(A)=0.4, P(B)=0.3, and P(A∨B)=0.5? If so, what range of probabilities would be rational for the agent to hold for A∧B? Make up a table like the one in Figure 2, and show how it supports your argument about rationality. Then draw another version of the table where P(A ∨ 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?)