# The 40/40/20 Rule And Why It Might Not Matter

## How has analytics changed shot selection?

“High risk, high reward” is a familiar phrase. It rules investment strategies and dictates policies. The basic principle of risk and reward states: if an action is risky, it needs to be highly rewarding to compensate for the risk taken. Conversely, if an action is safe, it is likely not rewarding, or that if something has a low reward attached to it, the risk must be minimal to justify taking a smaller reward.

This concept of risk and reward seamlessly translates into basketball. The rise of advanced analytics has caused a new way of thinking and looking at the game, leaving teams scouring data searching for ways to increase upside potential while minimizing potential risk.

Shot distribution is one of the most important factors of an effective offense. Although often overlooked, a team’s ability to create and take smart and efficient shots is paramount in offensive efficiency. It can make massive differences in shooting percentages, total offense, points per possession, and other metrics.

The 40/40/20 rule is often used to describe shot distribution and is excellent in balancing a risk-reward tradeoff. It states that 40% of a team’s shots should be from the 3-point line, 40% at the rim, and 20% from the mid-range. This means that a combined 80% of a team’s shots would be at the rim or from behind the 3-point line, or what are considered “efficient shots.” Based on NBA averages from Cleaning the Glass, abiding by the 40/40/20 rule would result in scoring an average of 148.12 points per game — more than enough to win a majority of matchups. Analyzing the data, particularly points per shot attempt, provides clear insight into the efficiency of certain shots and the make-up of the 40/40/20 rule.

The value of the three-pointer is obvious and becoming more evident every day. It has a value 50% higher than its two-point counterpart. It may not seem like much, but an entire point is enough to decide the outcome of a game. In a league where teams average 115 possessions per game, the difference between a two-point value and a three-point value can be consequential.

Shooting a three does come with a lower shooting percentage but as the risk/reward analysis demonstrates, teams can afford to shoot a much lower percentage, because the three is so much more valuable than the two. The NBA league-wide average is 37% from three, which leads to an average of 1.12 points per shot attempt.

Shots at the rim are extremely effective shots. The league boasts a 64% average shooting percentage at the rim. Shots at the rim also put the shooter in position for an offensive rebound, and draw fouls at a high rate. One in five shots at the rim draws a shooting foul, resulting in either two free shots or an and-one opportunity for a three-point play. 64% shooting with a 20% foul rate equates to an average of 1.12 points per shot.

Mid-range jumpers are anything from about four feet away from the rim to the arc. Knocked down at only 42%, they often leave the shooter in poor position to get the rebound, but usually too deep in the floor to quickly get back to defend. Despite the tendency to take closely contested shots, the rate of drawing a foul is negligible. It is possible for shooters to create space between themselves and their defenders to take an open look, often by taking a fadeaway or a floater, both of which can decrease accuracy and foul rate. A mid-range jumper is quite risky yet unrewarding, especially the deeper mid-range shots (taken from about 14 feet and beyond). These shots combine the worst parts of a shot at the rim and the worst parts of shooting a three without adding the positive aspects of either shot. It is only worth as much as a layup but knocked down as often as a three. The low percentage combined with its low value defies the risk/reward analysis and makes it statistically the worst shot in basketball. 42% shooting on a shot worth two points results in 0.84 points per shot.

The 40/40 allocation of the two types of most efficient shots may not matter, however, because they are both efficient shots. Offensive efficiency is often measured by points per possession. In this metric, the goal is to average at least one point per possession. Put simply, only shots at the rim and behind the arc can do that because they average more than 1.0 points per shot, while shots from the mid-range come in below that line. So, in order to stay above one point per possession, teams need to supplement their offense with threes and shots at the rim. So, the key to efficiency is not necessarily shooting more shots at the rim or more threes; rather, it is limiting shots from the mid-range. By keeping the rate of mid-range jumpers down, at or around 20%, offensive efficiency goes up, regardless of the types of shots that fill the other 80%. It’s no coincidence that according to Ben Falk of Cleaning the Glass, the top 5 teams in the league in Loc eFG% (location effective field goal percentage) are the bottom five in the league for mid-range shots taken. Additionally, the bottom three mid-range shooting frequency teams were all in the top 5 in eFG%.

In response to analytics, three-point frequency is skyrocketing, and one statistician thinks it could go higher. David Locke, one of the most articulate and outspoken proponents of basketball analytics and shot selection, also has apparent qualms with the mid-range. At length, he has used statistical data to disparage that shot. He has explored the idea of teams shooting well over 50% of their shots from beyond the arc. When asked where the three-point revolution is going, Locke replied, “I think we’re going to 60 to 65 percent of all shots are threes and about 30 percent are at the rim and about 5 percent are mid-range shots.”

Citing the inevitability of defensive adjustments, he immediately adjusted himself saying “maybe we never get *that* high.” But he does maintain that due to improved analysis, teams will continue to increase the number of three-point attempts per game. This scenario laid out by David Locke would break down to 65/30/5, resulting in 75 threes, 35 rim shots, and five mid-range shots per game, equating to an average of 147 points per game. This seems to disprove the 40/40/20 rule. Instead it indicates that shooting as few mid-range shots as possible, and replacing them with more efficient shots, is the number one way to increase shot selection efficiency and, in turn, total offensive production.

It does seem that given all the variables and nuances of dealing with an actual basketball game, the 40/40/20 rule is still a good standard for shot selection. Shooting zero mid-range shots would be ideal, but opposing teams know this and will try to take away the three and the rim leaving an open mid-range opportunity. Of course, Jerry Sloan was once credited as saying, “maybe there’s a reason you’re open, kid.” This idea is applicable. An open look can certainly be dangerous, and a great shot is almost always better than a good shot.

More gritty details:

Here’s the breakdown of projected total scoring per game based on specific shots taken:

All threes: 128.8 points

All rim shots: 193.2 points

All mid-range: 96.6 points

40/40/20: 148.12 points

65/35/5: 147 points

Statistically speaking, there are two different categories of three-pointers and mid-range jumpers. The three-point shot breaks down into the corner three and the straightaway three, also known as the above the break three. The corner three is closer to the rim and, as such, has a higher percentage. The corner three is made about 40% of the time, while the non-corner three is about 36%.

The short mid-range jumper is broken into two shots differentiated by distance. The short mid-range, 4 to about 14 feet, has an average of 42.4% and comes with a slightly higher rate of being fouled. A long mid-range, any two-pointer taken from about 14 feet and beyond, is knocked down at a clip of 41.6%

This clarification goes to further reinforce how effective the three-pointer is and how obsolete the mid-range is. If a long mid-range is made about 42% of the time and a corner 3 is made 40% of the time, and one shot is worth two and one is worth three, there remains no reason to shoot a mid-range shot.

Points per possession is an important metric. The line of ineptitude is 1.0. In order to reach this by shooting only twos, you have to score every other possession. Easy to do if you’re pounding the glass where the average is 63%, the points per shot is 1.43. That’s much harder to do from mid-range when the average is 42% and the points per shot is .84. To reach 1.0 points per possession shooting only threes, you only have to hit a shot every three possessions. Abiding by the 40/40/20 rule results in 1.29 points per possession, while the David Locke model of 65/35/5 results in 1.28. Both numbers are well above the 1.0 line.

Thanks again to cleaningtheglass.com for providing the statistical inputs.

Analysis and statistical outputs are by Parker Ballantyne.

Visit SportsMetricsLab.com for more sports analytics.

-sports@usustatesman.com

*Originally published at **https://usustatesman.com** on March 8, 2021.*