You are a construction manager tasked with choosing between two different construction methods for a new building project. The first method, Method A, has an expected construction cost of $1.2 million with a probability of 0.6, and $1.5 million with a probability of 0.4. The second method, Method B, has an expected construction cost of $1.4 million with a probability of 0.8, and $1.7 million with a probability of 0.2. Calculate the expected value for each method, and based on the principle of minimizing cost, determine which method you should choose for the new building project