Ratio bias
Why people judge probability by absolute numbers rather than percentages and how to apply ratio bias to make your marketing more persuasive.
In this issue
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In 1994, psychologists Denes-Raj and Epstein conducted an experiment.
They asked participants to blindly pick a red jelly bean out of a bowl for a chance to win a dollar.
The participants could choose between two bowls that had the following mix:
- 1 red jelly bean in a bowl of 10.
- 7 red jelly beans in a bowl of 100.
Now, without knowing that there is a psychological catch here, you might think the second option is a better chance for you to get the dollar.
After all, there are more red beans there.
The majority of participants agreed.
In fact, 61% of subjects chose to draw from the bowl with more jelly beans, thinking there was a higher chance they’ll draw the red one. But they were wrong, of course.
In the first case, there’s 10% you win. In the second case, you have a mere 7% chance.
This is called the Ratio bias.
It’s a cognitive fallacy where we misjudge probabilities or risks when comparing ratios because we tend to focus on absolute numbers more easily than proportional differences.
You can find this bias everywhere. A 1 in 5 chance of winning appears greater than a 20% chance, voting based on “hundreds of crimes reported” is more compelling than voting on a “0.02% crime rate,” etc.
And, of course, you can use this to your advantage.
Three ways to leverage the Ratio bias
Don’t use percentages
This is the biggest, most important tip.
The problem with percentages? They’re abstract.
They require potential shoppers to pause and mentally calculate risk or value, which most won’t do.
People would rather decide based on the raw numbers they see, not the probability behind them.
So if you want your message to feel more persuasive, show the numbers, not the math.
As you may have noticed in the beans example above, you feel an emotional pull towards larger numbers, even when they lower your chances.
So make the ratio visual and concrete.
Case in point: McDonald’s ran a successful promotional campaign for years using Monopoly game pieces. Rather than framing odds in percentages, they showed real, countable prizes:

1 in 4 chances to win. Not a 25% chance. This makes the sweepstakes feel winnable.
Even if the reward was just a coupon for free fries, the psychological nudge was powerful enough to drive millions to keep playing. And spending more…
Use Ratio bias in negative framing to amplify risk or scarcity
Our brains are wired to respond emotionally to absolute numbers—and even more so when they imply loss, danger, or missing out.
That’s mostly due to another bias: Loss aversion.
In short, people are often more likely to avoid losing something than pursue a benefit.
For example, if your product helps customers with reducing cart abandonment, it’s better to say “7 in 10 customers abandon their carts,” not “70%…”
This makes your target audience feel like they can save up to seven customers.
A few more examples:
- Instead of saying “20% of visitors bounce from your website” you can say “20 out of 100 leave your website instantly. Our product helps you lower this number.”
- Instead of “only 20% left in stock” say “only 20 out of 100 left” to make it visual.
You see healthcare brands doing this a lot. They don’t say “4% develop this illness,” they say “over 300 million people in the world will be diagnosed with it this year.”
It hits harder, doesn’t it?
Visualize ratio to guide perception
A little biology lesson: We evolved by spotting patterns. Math came second.
With that in mind, you should know people count better when they can see what they’re counting.
This engages the emotional, automatic part of our brain.By showing instead of telling, you let people feel the ratio rather than calculate it. And feelings drive action.
How can you do this? For one, you can use icon arrays, progress bars, or people figures. For example, you can show “7 out of 10” as seven colored figures and three grayed out figures.
Color coded ratios also work. Highlight the “good” numbers in green, the “bad” ones in red.
Pharmaceutical companies do it all the time:

Much more compelling than saying “10% of people,” right?
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SEARCH: AI Overviews in both Google and Bing are starting to feature Shorts and human-made short videos that provide quick, visual answers to search queries. It’s a move toward more engaging results… but how long until AI-generated video answers show up too?
APPS:The most downloaded app in May? Try to guess. Yes, it is ChatGPT—for the second consecutive month. The app had 50M downloads in May, followed by Instagram’s 42M and TikTok’s 40M. So it’s AI first, social media second…
SEARCH: A new study shows Wikipedia is the source of 47.9% of ChatGPT search answers. We can almost hear all the teachers sighing. Google AI Overviews and Perplexity rely more on Reddit, which is interesting given its opinion-based material. So AI answers…rustworthy or not?
MARKETING PSYCHOLOGY:Real persuasion is not manipulation. Instead of “tricking” your customers, you should want to help them and guide them to make informed decisions.This little essay might help you do exactly that, and shift your perspective.
ICYMI, last time we looked at the Foot in the door technique.
The “Anti-percentage” Crew
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