Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each going to randomly choose from either 1 p. m., 2 p. m., 3p. m., or 4 p. m. to show up
at Sally's Restaurant. They must both choose exactly the same time in order to meet.
Bob has a "buy one entree, get one entree free" coupon that he can only use if he meets up with Anna.
If he successfully meets with Anna, Bob's lunch will cost him $5. If they do not meet, Bob's lunch will cost
him $10.
What is the expected cost of Bob's lunch?
Round your answer to the nearest cent.