Fooled by Randomness · ch 2 of 14
A Bizarre Accounting Method
Score a choice by all the ways it could have turned out, not just the way it did.
The rule for your portfolio
Weigh a decision by its whole range of possible outcomes, not the single result you happened to get.
The year that almost was
Here is a strange thought to start with. The year you just lived through was only one of the years you could have lived. Same you, same choices, same morning you woke up and decided things - but the world is a little bit random, so the exact year that happened was just one roll of a very big dice. Nudge a few things and a different year comes out instead.
Let me make that less spooky and more useful with a picture. Imagine that before a year begins, someone fills an enormous glass jar with marbles, and every single marble is one possible version of how that year could go for you. Some marbles say "things went beautifully." Some say "things went alright." And some say "things went badly wrong." When the year actually starts, you reach into the jar with your eyes closed and pull out exactly one marble. That marble is the year you truly live. The rest stay in the jar, unseen - the years that almost were.
Now here is the big idea of this whole chapter, and it is one of the most useful ideas in all of investing. When we look back and ask "was that a good choice?", almost everybody makes the same mistake: they look only at the one marble that came out. If the marble was nice, they say the choice was clever. If the marble was nasty, they say the choice was foolish. But that is not how you judge a choice at all. To judge a choice honestly, you have to look at the whole jar - every marble your choice put in there, not just the one you happened to draw.
This one shift changes everything. It means a reckless bet that won was still a reckless bet. It means a careful choice that lost was still a careful choice. And it means the loud, obvious scoreboard - did it go up or down? - is often lying to you about who was actually wise.
Why one marble can't judge the jar
Let's slow down on why looking at a single marble fools us so badly, because it feels so natural that we barely notice we're doing it.
Suppose your cousin Aman tells you, proudly, that he crossed a busy road with his eyes shut and reached the other side without a scratch. He arrived safe. So - was it a smart thing to do? Every part of you screams no, obviously not, that was mad. But notice why you know it was mad. You are not looking at the marble he drew (he arrived safe). You are looking at his whole jar - all the crossings that could have happened - and you can see that in most of those maybe-crossings, a scooter or a truck hit him. He got the one safe marble out of a jar full of terrible ones. The safe arrival doesn't clean up the jar. The jar was ugly, and he simply got lucky.
Money works exactly the same way, but the trick is much harder to spot, because with money you can't see the traffic. When Aman crosses a road blind, you can picture the trucks he dodged. When someone bets everything on one risky thing and it happens to pay off, the "trucks" - all the ways it could have gone wrong - are invisible. You never see the ninety ugly marbles. You only see the one shiny marble in his hand, and the shiny marble is very good at telling a story: "Look how much I made! I must be brilliant!"
This is why it matters so much, and why it's worth building the habit young. The result you can see is only a tiny sample - literally one marble - out of everything that was possible. Judging the whole choice by that one sample is like judging a giant jar of a thousand marbles by pulling out one and declaring you now know the mix. You don't. You know one marble. A person who confuses "it worked out" with "it was wise" will keep copying lucky fools and keep doubting careful winners, and slowly, without meaning to, they will train themselves to make exactly the kind of dangerous bets that pay off nine times and destroy you the tenth.
So the goal of this chapter is to teach your eyes to do something they don't do naturally: to look past the marble in the hand and see the jar it came from. Once you can see the jar, you can never be fully fooled by a single lucky result again.
How to see the whole jar
Alright - so how do you actually look at the jar when the jar is invisible and only one marble is ever real? You do it in your head, on purpose, with a simple habit. Every time you see a result, before you praise it or blame it, you pause and ask: "If we could rewind and let this year play out a hundred different ways, how many of those hundred would end happily - and how many would end in tears?"
That imaginary rewind is the whole skill. You're not trying to predict which marble comes out - nobody can. You're trying to guess the mix of the jar. A choice where 95 of the 100 marbles are fine and 5 are bad is a lovely jar, even if you happen to draw one of the 5 bad ones this time. A choice where 90 of the 100 marbles are ruin and 10 are riches is a horrible jar, even if you happen to draw a rich one. The single marble tells you what happened. The mix of the jar tells you whether the choice was wise. Those are two completely different questions, and grown-ups mix them up constantly.
Here's a gentle way to build the habit. Whenever you catch yourself thinking "that was a great decision because it made money," swap the word "because" for the word "and": "that made money, and - separately - I need to check whether it was a great decision." The two facts sit side by side now instead of one pretending to prove the other. Then you go check the jar. Most of the time the good result and the good decision will match. But the whole point of the habit is to catch the times they don't - the lucky fool and the unlucky wise one - because those are the exact cases where the scoreboard teaches you the wrong lesson.
Watch it happen: the lucky doubler
Let's put real rupees down and watch the trick in action. illustrative
Meet Rohan. He has ₹8,00,000 saved - everything he has. He hears about one tiny company, gets very excited, and does something bold: he puts the entire ₹8,00,000 into that single small company. No spreading it out, no cushion, no backup plan. All of it, on one square.
And it works. Within a year the company's shares double, and Rohan's ₹8,00,000 becomes ₹16,00,000. He is thrilled, and honestly, who wouldn't be? He made ₹8,00,000 in a year. His friends start asking him for tips. He starts to feel like he has a special gift - a nose for winners. Every time he tells the story, the lesson he draws is the same: "Go big. Trust your gut. It paid off, so I was right."
But now let's do the thing this chapter teaches. Forget the shiny marble in his hand for a second and look at the jar Rohan actually reached into. He put 100% of his money on one small company. Small companies are wild - in a rough patch, one can easily halve, or worse, if it stumbles or the whole market has a bad year. So picture the hundred maybe-years for Rohan's exact same choice. In a good chunk of them, sure, the company does fine and he's happy. But in a very large chunk of them, the company drops 40%, 50%, even 70% - and because he bet everything, that isn't a bruise, it's a disaster he can't easily recover from. Rohan's jar was full of ugly marbles. He simply drew a shiny one this time.
So what was Rohan's real mistake? It was not that he lost money - he didn't, he won. His mistake is what he concluded. He decided his bold, everything-on-one-square habit was wise, when actually his habit was reckless and the year just happened to be kind. And here's the sad part: because he "learned" that lesson, he'll do it again, and again, drawing from that same ugly jar - and jars like that eventually hand you the marble you were always most likely to get. The win didn't make him safe. It made him confident, which is far more dangerous.
Two brothers, one bet, two worlds
Let's sharpen it with a second story, because there's an even clearer way to feel this. illustrative
Imagine twin brothers, Arjun and Aman, who - separately, without talking to each other - make the exact same risky choice on the same day. Each takes ₹5,00,000 and puts all of it into the same single volatile bet. Same decision, same jar, same everything. The only difference is which marble the year hands each of them, because tiny random things go one way for Arjun and the other way for Aman.
A year later, Arjun's bet has climbed and his ₹5,00,000 is now ₹7,50,000. Aman's has fallen and his ₹5,00,000 is now ₹2,50,000. Arjun is a "genius." Aman is a "fool." The whole world will treat them as opposites - one gets praised, one gets pitied, one gets copied, one gets lectured.
But stop and see what actually happened. They made the identical choice. It was equally wise (or equally silly) for both of them, because wisdom lives in the decision, and their decision was the same. The only thing that differed was luck - which marble came out of one shared jar. If we're going to say Arjun decided well, we're forced to say Aman decided well too, because they decided the same thing. And if Aman decided badly, then so did Arjun. What we absolutely cannot do - though everyone does it - is call one wise and one foolish based on the marble, when the choice was one and the same.
This is the cleanest proof that the result can't be the judge. You literally can't have the same decision be brilliant for one brother and stupid for the other. The decision was one thing; the outcomes were two. And that gap - same choice, opposite results - is possible only because the world is partly random. Which brings us to the next trap, the one that makes us forget the world is random in the first place.
Real risk is not a board game
Here's a mistake that sits underneath everything so far, and it's a sneaky one. When we do imagine "the jar" or "the odds," we tend to picture something far too tidy - like a board game with the chances printed neatly on the box.
Think about Snakes and Ladders. It's a lovely, honest little world. There's a fixed number of snakes and a fixed number of ladders, all drawn on the board where you can see them. The dice has exactly six faces, each with a known chance. Nothing surprising can ever happen - no snake will suddenly appear on a square that didn't have one, the board won't catch fire, the dice won't grow a seventh face. Because everything is known and fixed, you can work out the odds perfectly. The game is tame.
Now - real money is not Snakes and Ladders, and believing it is has a special name: the ludic fallacy, from the word for "game." The ludic fallacy is when you treat the messy, unpredictable real world as if it were a neat game with a fixed, knowable rulebook. In the real market, new snakes appear that nobody drew on the board. The rules themselves change halfway through. The worst things that happen - a sudden crash, a whole industry falling apart, a shock nobody had ever seen - were never on anyone's dice. The really painful marbles in the jar are often ones you didn't even know were in there.
Why does this matter so much? Because the ludic fallacy is what makes people over-trust their own jar. Someone builds a clever calculation, gets a crisp answer like "there is only a one-in-a-hundred chance of a bad year," and then relaxes completely - as if they'd solved Snakes and Ladders. But that tidy "one-in-a-hundred" only counted the snakes they knew about. The real jar has extra marbles the calculation never imagined, and those unimagined marbles are usually the worst ones of all. So a good rule is this: whenever a number about the future looks too neat and confident, be suspicious. Treat it as a rough guide with a wide, honest margin around it - never as the printed odds on a game box. The real world always keeps a few marbles up its sleeve.
Judge the decision, not the dice
So if we can't judge a choice by its result - because the result is one lucky marble drawn from a jar that isn't even tidy - then what do we judge it by? The answer is the single most grown-up idea in this whole book: you judge the process, not the outcome.
Your "process" is simply how you decided - the thinking you did with the information you actually had at the moment of choosing. Did you understand what you were buying? Did you avoid betting so much that one bad marble could ruin you? Did you leave a margin for the surprises the ludic fallacy warns about? That's the process. And here's the freeing part: a good process will still sometimes hand you a bad outcome, because the dice are the dice. A bad process will still sometimes hand you a good outcome, for the very same reason. You can decide beautifully and lose; you can decide terribly and win.
Look hard at that grid, because it holds the whole lesson. Two of the corners are honest and easy: good thinking that won (deserved), and bad thinking that lost (fair enough). The scoreboard tells the truth in those two boxes. But the other two corners - the shaded ones - are where all the trouble lives. A good decision that lost looks like a failure but wasn't. A bad decision that won looks like genius but wasn't. Rohan from earlier lives in the "dumb luck" box: bad call, good end, wrongly filed as brilliance. And the danger is that outcomes constantly try to shove people out of the shaded corners - telling the unlucky-but-wise person to give up their good habit, and telling the lucky-but-reckless person to double down on their bad one. The person who can hold their nerve in those two boxes - sticking with a good process through an unlucky loss, and staying suspicious of a good result that came from a bad process - is the person who slowly gets rich while everyone else is being jerked around by the dice.
Watch it happen: the bonus and the chart
Let's make the process idea real with rupees, using a situation almost every earning grown-up faces. illustrative
Two friends, Aarvi and Haridya, each receive a year-end bonus of ₹6,00,000, and each wants to invest it. They face the exact same honest question: put it all in at once, or spread it in slowly over a year? Neither answer is obviously right - that's the whole point. So each one thinks it through and picks.
Aarvi decides to put the whole ₹6,00,000 in at once. Her reasoning: markets tend to drift upward over long stretches, so on average, being in sooner beats waiting. That's a perfectly sound way to think. Haridya decides to spread hers in across twelve months, a bit each month. Her reasoning: she'd rather not have the bad luck of dropping it all in right before a dip, so she trades a little average gain for a smoother ride and calmer sleep. That is also a perfectly sound way to think. Two good processes. Two different, defensible choices.
Now the dice roll. It so happens the market rises steadily all year. Aarvi, who put it all in on day one, rides the whole climb and ends with more money. Haridya, drip-feeding, had part of her cash sitting on the sidelines during the rise, so she ends with a bit less. The chart has spoken: Aarvi "won," Haridya "lost."
But watch how badly the chart misleads if you let it be the judge. It's tempting to say "Aarvi was right, Haridya was wrong" - but that's pure outcome-thinking. Rewind to the moment they decided, which is the only moment that could contain any wisdom. At that instant, neither of them knew the market would rise. Both faced the same unknown jar of maybe-years. In the maybe-years where the market fell, Haridya's careful drip-feeding would have shone and Aarvi's all-at-once would have looked reckless. The market happening to rise doesn't make Aarvi's thinking better than Haridya's; it just means her marble matched her bet this time. Both made a sound decision. Only one got a friendly dice roll.
If Haridya walks away from this thinking "I chose badly, I must copy Aarvi and always go all-in," she has learned the wrong lesson from a lucky chart - and one day that all-in habit will meet a falling market and hurt her. The honest takeaway is the quiet one: she decided well, the dice went the other way, and a good process that gets an unlucky roll is still a good process.
Where people trip up
The slip is almost never stupidity. It's that outcomes are loud and jars are silent. The result shouts at you - a big green number, a doubled account, a friend's happy story - while the ninety ugly marbles you dodged (or nearly drew) make no sound at all. So people naturally listen to the shouting and learn from the marble, not the jar.
Here's the exact shape of the trap. Someone near you makes a wild, all-or-nothing bet and it pays off spectacularly. You watch them get rich, get praised, get copied. Your own careful, well-reasoned choices look boring and slow next to their fireworks. The pull to abandon your good process and copy their lucky recklessness becomes enormous - and it's strongest at the worst possible moment, right after their bet has just proved it can work. That's the moment the invisible jar is quietly at its most dangerous, and it's the moment the shouting result is most convincing. People don't drift into ruin during their careful years. They leap into it right after watching someone else get lucky.
Where this idea can mislead you
Now the honest part, because even this fine idea can be pushed until it snaps.
The first way it misleads: "outcomes don't prove anything" can curdle into "outcomes never matter, so I never have to learn from results." That's wrong, and dangerously so. One result is a lucky or unlucky marble - weak evidence, mostly noise. But a long string of results is a different thing entirely. If your careful process keeps losing, year after year after year, across many different dice rolls, that pattern is no longer noise - it's a signal that your process might actually be broken, or your "jar" wasn't what you thought. So the rule isn't "ignore all outcomes." It's "don't over-read a single outcome, but do listen when a long, repeated pattern of them tells you something." Grade the process - and let a mountain of results, not a single one, be allowed to update your view of the process.
The second way it misleads: imagining alternative histories can slide into paralysis. If you spend all day picturing the hundred ways every choice could go wrong, you might become too frightened to ever choose anything - and never investing at all is its own quiet way of losing, as inflation nibbles savings that just sit there. The jar-thinking was meant to make your bets sound, not to freeze you. The goal is to pick choices whose jars are mostly-fine and can't ruin you, then act - not to stare at the jar forever.
And a third, quieter caution: guessing the mix of an invisible jar is genuinely hard, and you can fool yourself into thinking you know it precisely - which loops us right back to the ludic fallacy. Nobody can say "exactly 94 of these 100 marbles are fine." The honest move is to reason in rough, humble terms - "this jar looks mostly safe with a few bad marbles" versus "this jar looks mostly ruin" - and to keep a wide margin for the marbles you couldn't even imagine were in there. The point of this whole chapter was never to make you think you can compute the future. It was to stop you being fooled by the one piece of it you happened to get.
Carry forward
- Every choice fills a jar with marbles - all the ways it could have turned out - and you only ever draw one. Judge the choice by the whole jar, not the single marble luck handed you. A reckless bet that won was still reckless; a careful choice that lost was still careful.
- The real world is not a tidy board game with the odds printed on the box. New snakes appear that nobody drew, and the worst marbles are the ones your neat calculation never imagined. So treat any too-confident number about the future as a rough guide with a wide margin, never as printed odds.
- When luck is in the game, judge how you decided, not what came out. A good process can draw an unlucky marble and a bad process a lucky one, so watch the two tricky corners: the sound call that lost and the reckless call that won. Don't upgrade a habit to "wise" because it won once, or scrap one because it lost once.
every choice quietly fills a jar with all the years it could have become, and you only ever pull out one marble - so a lucky win and a wise choice are not the same thing, the real world hides marbles your tidy sums never counted, and the only honest way to judge yourself is by the thinking you did with what you knew, letting the single roll of the dice be a story, never the scoreboard.