Solved, Crushed, and Mathematically Doomed: The Childhood Games You Were Never Actually Winning

Picture this: You're seven years old, sitting across from your little brother at the kitchen table. A blank tic-tac-toe grid stares back at you. You feel the pressure. The stakes. The electric tension of a gladiatorial contest that will determine who gets the last fruit roll-up.

Spoiler: The fruit roll-up outcome was already decided before you drew your first X.

Welcome to the universe of solved games — a nerdy, slightly soul-crushing corner of mathematics where certain games have been completely cracked open like a piñata, their outcomes predetermined for anyone willing to play perfectly. And once you see it, you genuinely cannot unsee it.

So What Even Is a Solved Game?

In game theory, a "solved" game is one where mathematicians (the fun-ruiners of the academic world) have mapped out every possible move, counter-move, and outcome. The result? A definitive answer to the question: Who wins if both players play perfectly?

The answers fall into three buckets:

• First player wins — Go first, play right, take the trophy every time.
• Second player wins — Let the other person move first, then systematically dismantle them.
• Draw — No matter what either player does, it ends in a tie.

Tic-tac-toe lands firmly in that third category. With optimal play from both sides, the game always ends in a draw. Always. Without exception. The entire emotional rollercoaster of your childhood? A statistical illusion built on your opponent's suboptimal moves.

Tic-Tac-Toe: The Original Math Trap

Here's the cold truth about that 3x3 grid: there are exactly 255,168 possible games of tic-tac-toe when you account for all move sequences. Of those, 131,184 end in X winning, 77,904 end in O winning, and 46,080 end in draws.

But here's the kicker — every single one of those X or O victories only happens because someone made a mistake. The moment both players know the formula, the game flatlines into a draw. Every. Single. Time.

The "formula" itself isn't complicated. If you go first, take the center. If the center's gone, take a corner. Mirror your opponent's threats. Force them into a defensive crouch. Boom — you've just guaranteed yourself a draw against anyone who also knows what they're doing. Congratulations. You've mastered a game designed for second graders.

Connect Four: The Game That Got Really Solved

If tic-tac-toe feels too small-stakes, let's talk about Connect Four — that vertical grid of red and yellow discs that sat in every American family's game closet next to a half-finished puzzle of the Grand Canyon.

In 1988, mathematician James Dow Allen (and separately, Victor Allis) proved that Connect Four is a first-player win — always, with perfect play. The first player can force a victory no matter what the second player does. The winning strategy involves controlling the center column aggressively and creating "threats" the opponent can't simultaneously block.

Mattell sold millions of those things. The game was cooked from day one.

What makes Connect Four especially brutal is that the solution requires deeper calculation than tic-tac-toe — we're talking about analyzing game trees with billions of positions. It took actual computing power to crack. But crack it they did, and now any algorithm (or extremely patient human) can guarantee a win from the opening move.

Why Does Knowing This Actually Make You Better at Games?

Okay, so your childhood was a lie. But here's where it gets genuinely interesting — and where 4mulaFun earns its name.

Understanding why certain games are solved teaches you a transferable skill called backward induction. It's the art of starting from the desired outcome and working backward to figure out what moves lead there. Chess grandmasters do this. Poker sharks do this. NFL coaches reviewing fourth-down decisions do this.

When you internalize that tic-tac-toe is a draw-by-default, you start asking better questions about every game you play:

• Where is the "center column" in this situation?
• What's the move that creates two threats instead of one?
• Am I reacting to my opponent, or am I forcing them to react to me?

Suddenly, you're not just playing games — you're reading the underlying architecture of competition itself. That's a serious mental upgrade.

The Games That Haven't Been Solved (Yet)

Before you swear off board games entirely and take up axe-throwing, here's some reassurance: plenty of beloved games remain gloriously, defiantly unsolved.

Chess — Despite centuries of play and decades of computer analysis, chess has not been fully solved. The number of possible chess games is estimated at 10^120 (the "Shannon Number"), which is more than the number of atoms in the observable universe. Even the world's most powerful computers have only scratched the surface.

Go — The ancient Chinese strategy game makes chess look like tic-tac-toe in terms of complexity. With a 19x19 board and roughly 2x10^170 possible positions, Go won't be solved in our lifetimes. Possibly not in our civilization's lifetime.

Poker — Not fully solved because it involves imperfect information (hidden cards) and human psychology. Algorithms have gotten scarily good at it, but the human element still introduces chaos that pure math can't fully contain.

These games remain alive because their solution spaces are incomprehensibly vast. The formula exists — we just don't have the computing power or time to find it.

The Real Formula Behind Why Solved Games Still Get Played

Here's the paradox that makes your head spin a little: even knowing that tic-tac-toe is mathematically solved doesn't stop people from playing it. Kids still scratch grids into notebook margins. Bored office workers still doodle it on sticky notes.

Why? Because the fun was never really about the outcome. It was about the moment of decision — the feeling of agency, the illusion of a puzzle worth solving. The formula just makes the game's skeleton visible. The flesh and blood of play — the social connection, the trash talk, the dramatic pause before you draw your O — that stuff lives outside the math.

Knowing the cheat code doesn't kill the game. It just changes what you're actually playing for.

And maybe that's the biggest formula of all: Fun = Challenge + Connection + Just Enough Uncertainty to Keep You Guessing.

Now if you'll excuse us, we have a tic-tac-toe grid to draw and a younger sibling to psychologically dominate. Ethically. Using math.