Taking the Points - Less Likely to Win? Miami at Pittsburgh December 8, 2013

Conventional Wisdom says to take the points, especially when taking "gimme" points makes your lead go from 3 points to 6 points and forces your opponent to score a touchdown to win the game, rather than being able to tie the game with a field goal.  Depending on the situation, is this always right?  Should you be taking the "gimme" points in this situation at all times?

The Situation

Miami has the ball and is leading Pittsburgh 31-28.  It's 4th and goal on the Pittsburgh 9 yard line and 1:12 left to go in the game.  The obvious play is to kick the field goal, which they do, and they now lead 34-28.  However, on 4th down, with 3 seconds left, the Steelers complete a near miracle 5-lateral play to score a touchdown.  However, Antonio Brown stepped out of bounds on his way to the end zone, ending the game and allowing Miami to escape with a win.

Antonio Brown steps out of bounds before finding paydirt

The fact that Miami won overlooks the 4th and 9 decision a minute before.  Was it the right decision?

The decision comes down to whether the Dolphins should kick the field goal, or run a play on 4th down.

The Factors

There are several factors which can help us decide the right course of action, some are more relevant than others depending on the decision made.  We will look at all probabilities from the Dolphin's point of view.

• What is the probability of making the field goal?
• Given the field goal is made, what is the probability you will win the game?
• If the field goal is not made, what is the probability you will still win the game?
• What is the probability of scoring a touchdown?
• What is the probability of winning the game if you score a touchdown?
• What is the probability of winning the game if you don't score a touchdown?

All factors can be boiled down into one of the preceding factors.  For example, how well your defense is playing or how well the opposing kickoff return unit is playing, all can be taken into account with the above factors.

The Calculations

To determine the best course of action, we need to calculate the total win probability for each action, then figure out which decision is more likely to win the game.  With the game nearly over, the important metric is Win Probability (WP), not Expected Points (EP).  Expected Points is something coaches should be looking to maximize early in the game as it's highly correlated with WP, but by the end of the game, EP and WP can diverge quite a bit.