Twos vs Threes: The Shot Math of 6-7 Hoops
When to aim for a clean 3 point swish and when to bank on a safer 2 point rim shot in 6-7 Hoops. The math behind every decision.
· 3 min read · by the 67 team
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In most basketball games, more points is just better and you shoot for the biggest number every time. 6-7 Hoops breaks that assumption on purpose. Because you are hunting a precise total of 67, the value of a shot depends entirely on the score you already have, not on some fixed hierarchy of "3 is better than 2."
What separates a swish from a rim shot
A swish, the ball falling clean through the net without touching anything, is worth 3 points. A shot that clips the rim on the way in is worth 2 points. Both count as a made basket and both add to your total, the difference is purely the point value and, indirectly, the difficulty. A clean swish generally demands a tighter, more centered flick, while a shot that nicks the rim and drops anyway is a bit more forgiving on your aim.
The core rule: play the remainder
The single most useful habit in the entire game is subtracting your current score from 67 before every shot and treating that number, the remainder, as your actual target for that specific attempt.
- Remainder of exactly 3: you need a swish. A rim shot leaves you at a remainder of 1, which is nearly impossible to close cleanly.
- Remainder of exactly 2: you need a rim shot. A swish overshoots you straight into a bust.
- Remainder of 4 or more: either shot type keeps you safely under 67, so shoot whichever one you are more confident landing given the current wind and hoop position.
- Remainder of 1: neither shot type closes this cleanly, since there is no 1 point shot in the game. This is the worst spot to be in and worth actively avoiding a few shots ahead of time.
Aiming for value, not just makes
Because swishes are worth more, there is a temptation to always go for the clean 3 and treat rim shots as a fallback. Resist that instinct once you are within a few points of 67. A rim shot that lands you exactly on target is infinitely more valuable in that moment than a technically "better" swish that busts your entire run. Precision beats prestige here.
Farming safe totals early
Early in a run, before the remainder math gets tight, it is worth deliberately steering your score toward a total that leaves clean options later. For example, sitting on scores that are 2 or 3 away from a round number gives you flexibility. Sitting on something that leaves only a remainder of 1 down the line boxes you in. You cannot fully control which shots you make, since the hoop and wind randomize every attempt, but you can be aware of the traps and try to close remainders of 2 or 3 quickly when they appear rather than let a lucky extra swish push you into a bad remainder.
Rim shots are not a consolation prize
New players sometimes feel like clipping the rim is a "worse" version of the shot they meant to take. Reframe that. A rim shot is a genuinely different tool with a genuinely different use case. If your read of the hoop position and wind suggests your flick is going to catch the iron anyway, lean into it rather than fighting for an impossible clean swish. The two point shot exists precisely because 67 is not always divisible into a run of perfect 3s.
Putting it together
The best 6-7 Hoops runs are not the ones with the most swishes, they are the ones where every shot fits the number left on the board. Watch your remainder, know which shot type closes it, and treat the rim shot with the same respect you give the swish.
Once your shot selection is dialed in, avoiding an accidental bust becomes the next hurdle, and we cover that in detail in our bust prevention guide. Go put the remainder math into practice, play 6-7 Hoops right now, and if you have your own scoring theory, bring it to the chat.
