Understanding Bogey Numbers in Darts and 501FC

If you've ever found yourself with what seems like a simple finish in a game of darts or 501FC, only to realize you can't actually check out, you've likely encountered a 'bogey number'. Here is a comprehensive guide to understanding these mathematical traps, why they exist, and how to strategically avoid them to become a checkout master.

Last updated 22 April 2024

What Exactly is a Bogey Number?

In traditional darts, the highest score you can achieve with a single dart is 60 (a treble 20). Therefore, the absolute maximum score you can achieve with three darts in a single visit to the oche is 180. However, a common misconception among beginners is that every number between 1 and 180 can be reached with three darts. This is mathematically false. The specific numbers that are impossible to score with three darts are known as bogey numbers.

The complete list of bogey numbers under 180 is relatively short, but crucial to memorize: 163, 166, 169, 172, 173, 175, 176, 178, and 179.

The Mathematics Behind the Impossibility

To truly understand bogey numbers, let's break down the arithmetic. To get a high score, you rely on hitting the treble 20 bed. If you hit two treble 20s, you have 120 points. You have one dart left, which can score a maximum of 60. So, hitting a perfect 180 is entirely possible. But what if you hit a treble 20, a treble 19, and a treble 18? That's 60 + 57 + 54 = 171. That number is perfectly achievable.

The gaps, or bogeys, start appearing because the distance between the highest possible single-dart scores (60, 57, 54, 51) doesn't allow for every integer combination when you are constrained to only three darts. For instance, to get exactly 179, you would need to score 180 minus 1. But there is no dart on the board that scores exactly 1 point less than 60 (since the next highest single-dart score is a treble 19, which is 57). Because the math simply doesn't align, 179 is universally impossible.

How Bogey Numbers Apply to 501FC

Because 501FC is meticulously built on the authentic rules of darts, we strictly enforce the same scoring mechanics. In our game, when you name a footballer, their career statistic for the chosen metric acts as your three-dart score. If that statistic happens to perfectly match a bogey number, it is treated as an invalid score—just as it would be if you tried to proudly announce a score of "163" in a pub darts league.

For example, if you are playing the "Premier League Goals" category and you enthusiastically pick a legendary striker who scored exactly 163 goals in their Premier League career, the turn will frustratingly yield 0 points. The game logic will reject the number because no darts player, not even the professionals at the Alexandra Palace, could ever score 163 in a single turn. You can brush up on these scoring intricacies in our How to Play guide.

The Ultimate Strategic Trap: Leaving a Bogey

The real danger of bogey numbers in a competitive match isn't just accidentally picking a player whose stat is a bogey. The far more devastating trap is mathematically leaving yourself with a remaining score that is a bogey number.

Imagine the tension: you are on a score of 183. You confidently pick a player who scored exactly 20 goals. Your new total drops down to 163. Now you are completely stuck! You cannot possibly check out in the very next turn because 163 is a bogey number. You will be forced to waste an entire turn, throwing away a valuable opportunity, just to break the 163 down further before you can finally target a checkout. This is often where matches are won or lost.

Advanced Strategies to Avoid the Traps

To elevate your game, you must proactively manage bogey numbers. Here are three critical strategies:

  1. Internalize the List: Memorize the nine bogey numbers. It's a short list, and committing it to memory ensures you'll never accidentally pick a player with that stat.
  2. Always Plan One Turn Ahead: The hallmark of an elite player is foresight. When your score dips below 200, start performing mental arithmetic. Look closely at what your score will be after your next pick. If your planned subtraction lands you squarely on 169, immediately pivot and pick a different player. If you want to dive deeper into endgame tactics, read our Advanced Checkout Strategy Guide.
  3. Cultivate "Set-Up" Knowledge: Keep a mental roster of players with very specific, highly reliable stats. For example, knowing a solid defender with exactly 10 appearances, or a holding midfielder with exactly 50 goals. You can strategically deploy these players to precisely navigate around the dangerous bogey zones and set yourself up for a clean, mathematically sound finish.

Conclusion

Bogey numbers add a deeply satisfying layer of mathematical strategy to both real darts and the digital oche of 501FC. They successfully elevate the game from simple rote trivia recall to a dynamic puzzle that absolutely requires foresight, planning, and tactical awareness. Master the bogey numbers, and you'll find yourself confidently checking out with far fewer turns, leaving your opponents stranded in the 160s.

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