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Mental Models

Redefining Wrong

Decisions are bets on the future and should not be judged solely by outcomes because probability and luck play a role. Avoiding 'resulting' allows for better decision-making and self-compassion.

THE IDEA

Redefining wrong

When I attend charity poker tournaments, I will often sit in as the dealer and provide a running commentary at the final table. The atmosphere at these final tables is fun and raucous. Everyone running the event has had a long night and is breathing a sigh of relief. There is typically a big crowd around the table including friends and families of the players, rooting them on (or vocally rooting against them). If people have been drinking, then . . . people have been drinking. Everyone is having a good time.

When players have put all their chips in the pot, there is no more betting on the hand. After an all-in situation, the players in the hand turn their cards faceup on the table so that everyone can see them before I deal the remaining cards. This makes it fun for the audience, because they get to see each player’s position in the hand and the drama mounts. With the cards faceup, I can determine the likelihood each player will win the hand, and announce the percentage of the time each hand will win in the long run.

At one such tournament, I told the audience that one player would win 76% of the time and the other would win 24% of the time. I dealt the remaining cards, the last of which turned the 24% hand into the winner. Amid the cheers and groans, someone in the audience called out, “Annie, you were wrong!”

In the same spirit that he said it, I explained that I wasn’t. “I said that would happen 24% of the time. That’s not zero. You got to see part of the 24%!”

A few hands later, almost the same thing happened. Two players put all of their chips in the pot and they turned their cards faceup. One player was 18% to win and the other 82% to win the hand. Again, the player with the worse hand when they put in their chips hit a subsequent lucky card to win the pot.

This time that same guy in the crowd called out, “Look, it was the 18%!” In that aha moment, he changed his definition of what it meant to be wrong. When we think in advance about the chances of alternative outcomes and make a decision based on those chances, it doesn’t automatically make us wrong when things don’t work out. It just means that one event in a set of possible futures occurred.

Look how quickly you can begin to redefine what it means to be wrong. Once we start thinking like this, it becomes easier to resist the temptation to make snap judgments after results or say things like “I knew it” or “I should have known.” Better decision-making and more self-compassion follow.

The public-at-large is often guilty of making black-and-white judgments about the “success” or “failure” of probabilistic thinking. When the UK voted to leave the European Union (“Brexit”) in June 2016, the result was contrary to the betting odds, which had favored Remain. Bookmakers adjust odds to manage their exposure and earn a margin. That does not require equal amounts of money to be staked on each side, and the odds are not a promise about which outcome will occur. They reflect market expectations as well as how the bookmaker manages its business.

That didn’t stop even sophisticated people from resulting, declaring after the vote came in Leave that the bookmakers made a mistake. The chief strategist at one Swiss bank told the Wall Street Journal, “I can’t remember any time when the bookies were so wrong.” One of America’s most famous lawyers and professors, Alan Dershowitz, made this same error. Asserting in September 2016 that the Clinton-Trump election was too difficult to make any predictions about, he said, “Think about the vote on Brexit. Virtually all the polls—including exit polls that asked voters how they voted—got it wrong. The financial markets got it wrong. The bookies got it wrong.”

Just like my spectator, Dershowitz missed the point. Any prediction that is not 0% or 100% can’t be wrong solely because the most likely future doesn’t unfold. When the 24% result happened at the final table of the charity tournament, that didn’t reflect inaccuracy about the probabilities as determined before that single outcome. Long shots hit some of the time. Blaming the oddsmakers or the odds themselves assumes that once something happens, it was bound to have happened and anyone who didn’t see it coming was wrong.

The same thing happened after Donald Trump won the presidency. There was a huge outcry about the polls being wrong. Nate Silver, the founder of FiveThirtyEight.com, drew a lot of that criticism. But he never said Clinton was a sure thing. Based on his aggregation and weighting of polling data, he had Trump between 30% and 40% to win (approximately between two-to-one and three-to-two against) in the week before the election. An event predicted to happen 30% to 40% of the time will happen a lot.

Being a poker player, I’ve played out more two-to-one shots in my tournament career than I could possibly count. A lot of those have been situations where the tournament was on the line for me. If I lose the hand, I’m out of the tournament. If I win, I earn a huge pot, maybe even winning the entire tournament. I know viscerally how likely 60–40 and 70–30 favorites are to lose (and, of course, the opposite). When people complained that Nate Silver did his job poorly because he had Clinton favored, I thought, “Those people haven’t gotten all their chips in a pot with a pair against a straight draw and lost.” Or, more likely, they’ve had those things happen throughout their lives and didn’t realize that’s what 30% or 40% feels like.

Decisions are bets on the future, and they aren’t “right” or “wrong” based on whether they turn out well on any particular iteration. An unwanted result doesn’t by itself make our decision wrong. We need to examine how we assessed the alternatives and probabilities and allocated our resources. It would be absurd for me, after making a big bet on the best possible starting hand (a pair of aces) and losing, to conclude solely from the loss that I was wrong to play the hand. That would be resulting.

When we think probabilistically, we are less likely to use adverse results alone as proof that we made a decision error, because we recognize the possibility that the decision might have been good but luck and/or incomplete information (and a sample size of one) intervened.

Maybe we made the best decision from a set of unappealing choices, none of which were likely to turn out well.

Maybe we committed our resources on a long shot because the payout more than compensated for the risk, but the long shot didn’t come in this time.

Maybe we made the best choice based on the available information, but decisive information was hidden and we could not have known about it.

Maybe we chose a path with a very high likelihood of success and got unlucky.

Maybe there were other choices that might have been better and the one we made wasn’t wrong or right but somewhere in between. The second-best choice isn’t wrong. By definition, it is more right (or less wrong) than the third-best or fourth-best choice. It is like the scale at the doctor’s office: there are a lot more choices other than the extremes of obesity or anorexia. For most of our decisions, there will be a lot of space between unequivocal “right” and “wrong.”

When we move away from a world where there are only two opposing and discrete boxes that decisions can be put in—right or wrong—we start living in the continuum between the extremes. Making better decisions stops being about wrong or right but about calibrating among all the shades of grey.

Redefining wrong is easiest when the relevant probabilities can be calculated. At the charity-tournament final table, the players’ cards are faceup and no more betting remains. I can calculate each hand’s chance of winning. That calculation does not determine which hand will win this time. It makes it easier to say, “I wasn’t wrong just because it didn’t turn out well and I shouldn’t change my behavior.” A bet made earlier with hidden cards requires further judgment about information and opponents. The result still cannot settle whether that judgment was good.

There is no doubt it is harder to get there when we add in hidden information on top of the influence of luck. Untethered from seeing what the coin actually looks like, we are more likely to anchor ourselves to the way things turned out as the sole signal for whether we were right or wrong. We are more likely to declare, “I told you so!” or “I should have known!” When we start doing that, compassion goes out the window. Just ask Pete Carroll.

Redefining wrong allows us to let go of all the anguish that comes from getting a bad result. But it also means we must redefine “right.” If we aren’t wrong just because things didn’t work out, then we aren’t right just because things turned out well. Do we win emotionally by making that mindset trade-off?

Being right feels really good. “I was right,” “I knew it,” “I told you so”—those are all things that we say, and they all feel very good to us. Should we be willing to give up the good feeling of “right” to get rid of the anguish of “wrong”? Yes.

First, the world is a pretty random place. The influence of luck makes it impossible to predict exactly how things will turn out, and all the hidden information makes it even worse. If we don’t change our mindset, we’re going to have to deal with being wrong a lot. It’s built into the equation.

Poker teaches that lesson. In the illustration here, a great player with a good-size advantage will still be losing over 40% of the time after eight hours of play. That figure depends on the game and circumstances, but the point is familiar to players: making better strategic decisions does not mean winning every session.

The most successful investors in start-up companies have a majority of bad results. If you applied to NASA’s astronaut program or the NBC page program, both of which have drawn thousands of applicants for a handful of positions, things will go your way a minority of the time, but you didn’t necessarily do anything wrong. Don’t fall in love or even date anybody if you want only positive results. The world is structured to give us lots of opportunities to feel bad about being wrong if we want to measure ourselves by outcomes. Don’t fall for it!

Second, being wrong can hurt more than being right feels good. Daniel Kahneman and Amos Tversky studied loss aversion as part of prospect theory (which won Kahneman the Nobel Prize in Economics in 2002). Losses can carry more psychological weight than comparable gains. Under a simple two-to-one assumption, winning $100 at blackjack feels as good to us as losing $50 feels bad to us. I use that as an analogy for the emotional costs of judging ourselves by outcomes. It does not establish a fixed exchange rate between the pleasure of being right and the pain of being wrong. We can still spare ourselves some avoidable anguish by examining the decision instead of treating every loss as a personal failure.

When to use it

  • Assessing investment decisions based on probabilities rather than short-term gains or losses.

  • Evaluating strategic choices in business or sports where outcomes are influenced by luck and hidden information.

  • Making personal decisions (e.g., applying for a competitive program) where the chance of success is low but the potential payoff justifies the attempt.

  • Improving self-talk and reducing regret after unexpected negative results from well-reasoned decisions.

FROM THEORY TO EVERYDAY LIFE

In practice

01

Poker Tournament: 24% Win

At a charity poker tournament, a player with a 24% chance to win hits a lucky card and wins. The audience member who called the author 'wrong' later changed his understanding after seeing it was the 18% chance in a similar hand.

02

Brexit Betting Odds

Bookmakers’ odds favored Remain in the 2016 Brexit referendum, but Leave won. The result alone does not show whether the implied probabilities were well estimated: a forecast can favor an outcome without treating it as certain.

03

Trump Election Polls

After Trump won the 2016 U.S. presidential election, Nate Silver’s forecast drew criticism because it had favored Clinton. The 30-40% chance it assigned to Trump was substantial. The result alone cannot establish whether that probability estimate was accurate.

✳

A MOMENT TO REFLECT

Put it to work.

  1. Recall a time when a decision you made turned out badly. How might you reconsider that decision using probabilistic thinking rather than judging solely by the outcome?

  2. How can redefining 'wrong' help you be more compassionate toward yourself and others when things don't go as planned?

  3. What situations in your life (e.g., career choices, investments, relationships) would benefit from understanding that even well-reasoned decisions can lead to unfavorable results?

Connected ideas

Another lens can bring the same problem into focus.

Often confused with

References

  1. Prospect Theory: An Analysis of Decision under Risk — Daniel Kahneman and Amos Tversky (1979)

CONTINUE THE CONVERSATION

Source texts

  • Thinking in Bets Making Smarter Decisions When You Dont Have All the Facts (Annie Duke)
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