A consulting company has a project to launch, Project MI, and two potential consultants that will take over the project as project leaders, Jim and Joe. The project will succeed with probability 0.8 if Jim is the project leader, and with probability 0.6 if Joe is the project leader. The manager of the company said that Jim or Joe would lead the project with probabilities 0.4 and 0.6, respectively. Two months later, we have been told that the project has succeeded. What is the probability that Jim was the project leader?