A startup is evaluating a potential investment opportunity. Under the base case scenario, which is assigned a probability of $2/3,$ the investment is expected to generate a payoff of $$5$ million. In the bull case scenario, the payoff is projected to be $$10$ million, while in the bear case scenario, the payoff is expected to be a loss of $$2$ million. The bull and bear cases are assigned equal probabilities. Calculate the expected payoff of the investment