Home Mind & Brain Why Do We Overestimate Rare Events? Cognitive Biases Behind Lottery Hope and Hype 

Why Do We Overestimate Rare Events? Cognitive Biases Behind Lottery Hope and Hype 

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I’ll admit, I sometimes linger over those dazzling jackpot graphics on my morning scroll – despite knowing full well the odds are absurdly slim. Yet there’s something about the lottery’s promise of instant transformation that tickles our brains, stirs our daydreams, and, frankly, feels thrilling.  

So why do so many of us convincingly overvalue the improbable?  

When vivid stories loom large 

Ever notice how a handful of news reports about big winners can drown out thousands of silent losses? That’s the availability heuristic at work: our minds latch onto vivid, emotionally charged events because they’re easier to call up. A single headline about someone quitting their job after a windfall becomes the mental poster child for what “could happen,” even though millions who don’t win vanish from view. 

I find it both fascinating (and a bit gut-wrenching) how this bias warps perception.  

You scroll past countless reminders that the chances of winning the Lottery jackpot are very slim, yet that lone success story grabs centre stage in your thoughts.  

It’s like cheering on the unicorn while ignoring the entire herd of horses. 

Optimism bias and affect heuristic 

Beyond vividness, there’s a built-in optimism bias. We naturally believe that good things are more likely to happen to us than to others. Combine that with the affect heuristic (our tendency to let emotions steer probability estimates) and suddenly “an outside shot” feels like a tangible possibility. 

Emotions flatten the math, making a remote event seem almost within reach. 

Even I catch myself imagining life after a sudden fortune: the freedom, the bright escapes, the ability to help family. That fleeting wave of hope can blind us to the crushing reality of the odds. It’s not that we’re irrational; it’s that our wiring values hope as a survival tool, a powerful antidote to everyday drudgery.  

The near-miss effect & gambler’s fallacy 

Let’s not forget the allure of “almost there.” When you play the lottery and match four out of six numbers, you feel so close that you convince yourself the next draw is practically yours. That’s the near-miss effect. Paired with the gambler’s fallacy (the belief that past randomness influences future draws) you end up chasing that elusive vibe, spending again on the off-chance that momentum has shifted in your favour.  

Why we keep the dream alive 

It turns out a staggering 70% of the UK’s over 18s take part in the national lottery on a regular basis, which is close to 45 million people. It’s proof that, collectively, we lean hard on these biases. We’re not fools; we’re hopeful humans, wired to focus on rare, dramatic possibilities because they offer an emotional lift in otherwise routine lives. 

So the next time you’re contemplating the lottery, just remember there’s a decent chance that your sense of probability is being coloured by vivid stories, emotional tugs and quirks of cognition.  

Awareness doesn’t kill the dream; it merely takes us to where real change tends to begin: in the incremental, every day choices, and a sprinkle of good luck, which is much more common than the jackpot. 

Have you ever overestimated the odds of a long shot? Have you perhaps felt the tug of a near-miss? Tell us about your experience below, and let’s explore how hope and hype influence the stories we tell ourselves.




Ellen Diamond, a psychology graduate from the University of Hertfordshire, has a keen interest in the fields of mental health, wellness, and lifestyle.