this post was submitted on 27 Feb 2026
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The meme is talking about a common probability error that surveys have shown even doctors are prone to making.

Why you're probably ok:

The rarity of the disease far exceeds the error rate of the positive test. Meaning, the disease occurs in 1 out of a million people, so if you are tested at random and show positive, you only have a 1 out of 30,000 chance (the 3% false-positive rate) of being the the 1 person who truly has the disease.

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[–] marcos@lemmy.world 124 points 1 month ago (1 children)

The doctor is the one with the correct reaction there. Go do the second test.

[–] Windex007@lemmy.world 86 points 1 month ago (1 children)

I mean, yes...

But at 1/30,000 , they should say "get the second test... but be SUPER CAREFUL on the drive", since at 1/30000 you're still an order of magnitude more likely to die in an MVA.

[–] idiomaddict@lemmy.world 22 points 4 weeks ago (1 children)

This is ideal bedside manner.

[–] Windex007@lemmy.world 22 points 4 weeks ago (1 children)

I've always thought that I'd make an exceptional professional in the field of medicine.

The only thing really holding me back is my unfathomable depth of ignorance regarding the human body, or health in general.

At one point in my life, I believed that to be a deal breaker. Cheers, RFK Jr.

[–] SmackemWittadic@lemmy.world 3 points 4 weeks ago

I think RFK can be convinced to believe that Windex has amazing health benefits, so this might be your chance!

[–] LodeMike@lemmy.today 74 points 1 month ago (1 children)

Accuracy and False Positive Rates are two different numbers.

I'm tired and my brain is being dumb right now, but when you said that my first thought was of course American. 97% accuracy grouping bullets is a lot different than 97% sure a gun was fired.

One says Johnny got shot in the kidney, the other says a truck may have misfired down the road.

[–] RamRabbit@lemmy.world 48 points 1 month ago (1 children)

This is one of the main reasons doctors don't 'just give you a battery of tests'. Not only is that expensive, but if you are running dozens of tests, the chance one of them gives a false positive is pretty high. So now you not only wasted a pile of money, but you also think you have some rare disease you don't actually have. So you waste even more time and money treating that disease you don't have.

Doctors run tests for things they think you might actually have, which diminishes the false positive chance.

[–] themaninblack@lemmy.world 2 points 3 weeks ago

I have been thinking about this for a while.

Would this actually diminish the false positive rate for the test? Would it just be more likely to get a true positive back?

Or maybe would the false negative result be less likely?

Does it depend on the sample group that was measured to get the accuracy statistics? If the sample group was random then does that actually make a difference?

Doing my head in

[–] Ryanmiller70@lemmy.zip 46 points 4 weeks ago (1 children)

Tactical RPGs have basically taught me that anything below 100% is almost always a miss and even 100% isn't guaranteed.

[–] The_Picard_Maneuver@piefed.world 30 points 4 weeks ago

I missed a very important 96% shot in XCOM last night. I'm still thinking about it.

[–] rustydrd@sh.itjust.works 30 points 4 weeks ago
[–] RollingZeppelin@piefed.ca 27 points 1 month ago (1 children)

This is why we use specificity and sensitivity stats for medical tests. If the test has a sensitivity of 97%, you should definitely be worried.

[–] Zorcron@lemmy.zip 7 points 4 weeks ago* (last edited 4 weeks ago) (1 children)

In the case of trying to minimize false positives, you want the specificity to be high, not necessarily the sensitivity, which is associated with false negatives.

And 97% specificity with a very low pretest probability still results in a low probability for disease, which is why screening for so many diseases is difficult, even if diagnosing them can be easy if there are clinical signs and symptoms in addition the the test. The clinical background can increase the pretest probability significantly, allowing the test to do its job.

A video about pretest probability from Dr. Rohin Francis whose YouTube videos are very informative in general.

Another very relevant video from 3Blue1Brown about the problem.

[–] RollingZeppelin@piefed.ca 2 points 4 weeks ago* (last edited 4 weeks ago)

Yes, understood, ideally you would have two tests, one with high sensitivity to give some confidence that the disease is there, following by the high specificity test to compound the probability and rule out the false positive. Usually most tests have a trade off between specificity and sensitivity so two tests are needed.

Edit:
Watched the two videos, I love both these YouTubers but haven't seen either video before. The calculating of the Bayes factor as an update to the prior odds was very interesting, helped increase my understanding, thank you.

[–] over_clox@lemmy.world 16 points 1 month ago (1 children)

I almost died of a dental abscess back in 2008, which led to a multi systemic failure. That was fun, but I'm still alive today.

Fuckall with worrying about life anymore, if I ain't dead yet, well I'm not dead. I'm doing okay BTW..

[–] Mouselemming@sh.itjust.works 11 points 1 month ago (2 children)

Any day we're all breathing is a good day

Be well, friend

[–] Jarix@lemmy.world 8 points 4 weeks ago (1 children)

Today I broke my personal record for consecutive days lived!

[–] naticus@lemmy.world 5 points 4 weeks ago (1 children)

Whoa, congrats! I should check my high score too..... OMG would you believe it?! Me too!

[–] Jarix@lemmy.world 4 points 4 weeks ago

Amazing I love it! Congrats friend!

[–] HeyThisIsntTheYMCA@lemmy.world 2 points 4 weeks ago

I mean, fuck 2026 and all but I can have a good day if I have good food.

[–] toynbee@lemmy.world 14 points 4 weeks ago

So you're telling me there's a chance

Interpret it how you will.

Alright since I am actually currently learning about Bayes theorem. Assuming 97% accuracy means 3% chance of false negative and false positive. If you test positive. You have a 0.0032% of actually having the disease. If someone wants to double check me I encourage it.

[–] Formfiller@lemmy.world 1 points 4 weeks ago
[–] nightwatch_admin@feddit.nl -2 points 1 month ago

That slop picture in the middle is uncalled for, I mean there are limits

[–] Bwaz@lemmy.world -5 points 4 weeks ago (3 children)

What statistician is this referring to? Certainly not one who understands probabilities. The first number has nothing to do with it. You tested positive, and there's only a 3% chance that result is wrong. Time to settle your affairs.

[–] drcobaltjedi@programming.dev 15 points 4 weeks ago (2 children)

In a sample of 1 million people, 1 person will have the disease, 30,000 however will test positive for having the disease. Notice how the false positives count is way higher than the actual positive count.

[–] stephen01king@piefed.zip 2 points 4 weeks ago (1 children)

Is 97% accuracy rate the same as a 3% false positive rate? It might be a combination of false positive and false negative rate.

[–] Zorcron@lemmy.zip 5 points 4 weeks ago (1 children)

Accuracy is defined in relation to a specific population or dataset with a specific rate of disease, not for any individual. To properly characterize the test, you need to know the specificity and sensitivity, and together they tell you how a test will perform on an individual and how much an individual’s pre-test probability increases in the case of a positive test or decreases based on a negative test.

Don’t worry if it’s confusing, Baysean statistics is often counter-intuitive.

If you're interested, here is a very good 3Blue1Brown video that explains the concept very well.

[–] stephen01king@piefed.zip 3 points 4 weeks ago

Thank's for the link. Probability and statistics in general is not intuitive to me, not just for this type.

[–] Bwaz@lemmy.world -1 points 4 weeks ago (1 children)

How does that matter if I have a 97% chance of actually having the disease? A lot more people than I have won the lottery, doesn't have a thing to do with whether I will.

[–] drcobaltjedi@programming.dev 3 points 4 weeks ago

Its right 97% of the time. That does not mean you have a 97% chance of having the disease. The 3% error rate accounts for significantly more false positives than it accounts for false negatives on a disease that's 1 in a million. Again, with a 3% error rate, there will be 30000 false positive test results in a million. 30000 in a million is a larger number than 1 in a million.

[–] pnelego@lemmy.world 1 points 3 weeks ago

https://en.wikipedia.org/wiki/Thomas_Bayes This guy. The guy who arguably set in motion the modern approach to statistical theory.

[–] ilinamorato@lemmy.world 1 points 4 weeks ago* (last edited 4 weeks ago)

As far as I can see, you can't really fear or rejoice with the results until you know the false positive/negative ratio.