Education

A simple logic question that most Harvard students get wrong

Read in app

Harvard students get near-perfect SAT scores. These are smart, smart kids. So they shouldn't have trouble with a simple logic question, right?

Try the following puzzle:

A bat and ball cost $1.10.

The bat costs one dollar more than the ball.

How much does the ball cost?

Scroll down for the answer ...

You probably answered 10¢. That's what most Harvard students answered.

baseball
theseanster93 via http://www.flickr.com/photos/theseanster93/2505965437/ Creative Commons

But the real answer is 5¢.

Behavioral economist Daniel Kahneman explains why most people get this wrong:

A number came to your mind. The number, of course, is 10: 10¢. The distinctive mark of this easy puzzle is that it evokes an answer that is intuitive, appealing, and wrong. Do the math, and you will see. If the ball costs 10¢, then the total cost will be $1.20 (10¢ for the ball and $1.10 for the bat), not $1.10. The correct answer is 5¢. It is safe to assume that the intuitive answer also came to the mind of those who ended up with the correct number—they somehow managed to resist the intuition.

Many thousands of university students have answered the bat-and-ball puzzle, and the results are shocking. More than 50% of students at Harvard, MIT, and Princeton gave the intuitive—incorrect—answer. At less selective universities, the rate of demonstrable failure to check was in excess of 80%. The bat-and-ball problem is our first encounter with an observation that will be a recurrent theme of this book: many people are overconfident, prone to place too much faith in their intuitions. They apparently find cognitive effort at least mildly unpleasant and avoid it as much as possible.

This excerpt comes from Kahneman's 2011 book, "Thinking, Fast And Slow," which posits that we have an intuitive mental system and a logical mental system, and we often use the wrong one at the wrong time.

DON'T MISS: 61 Behavioral Biases That Screw Up How You Think

Read next

Gus worked at Business Insider from 2009 to 2017. Starting as an intern, he did a bit of everything, launching sections covering lifestyle, science, personal finance, military, and more, eventually serving as executive editor of Business Insider and editor-in-chief of Tech Insider.As a writer, some of his favorite stories looked facial biasthe philosophy of Peter Thiel, Chinese ghost cities, self-driving car ethics, the average family on earth, Wikipedia hoax-hunters, income inequality, bleak futurismglobal communication patterns, and the worst hotel in New York.As an editor and executive producer, some of his favorite stories include photo essays from the Canadian tar sands to the streets of Cairo, features about Vine stardom and dog cloning, and a documentary on hacking the grid.Gus graduated from Dartmouth College. He interned at Boston Review, 826 Boston, and Yes! Weekly.