Your boss has asked you to work up a simulation model to examine the uncertainty regarding the success or failure of five different investment projects. He provides probabilities for the success of each project individually: p1=0.50, p2=0.35, p3=0.65, p4=0.58, p5=0.45. Because the projects are run by different people in different segments of the investment market, you both agree that it is reasonable to believe that, given these probabilities, the outcome of the projects are independent. He points out, however, that he really is not fully confident in these probabilities and that he could be off by as much as 0.05 in either direction on any given probability.
Now suppose he says that if he is optimistic about the success of one project, he is likely to be optimistic about the others as well. For you simulation, this means that if on probability increases, the others are likely to increase. How might you incorporate this information into your simulation?