Football teams have the option of trying to score either 1 or 2 extra points after a touchdown. They get 1 point by kicking the ball through the goal posts or 2 points by running or passing the ball across the goal line. For a recent year, 1-point kicks were successful

94%

of the time, while 2-point attempts were successful only

36%

of the time. In either case, failure means zero points. Calculate the expected values of the 1-point and 2-point attempts. Can you think of any circumstances in which a team should make a decision different from what the expected values suggest? Explain.