Bayes' theorem alternative proof (using algebra)

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There are many ways to prove Bayes' theorem. This is an alternative proof which is more algebra heavy and doesn't rely on a strong knowledge of conditional probability.

I am an Engineer, not a medical professional. I chose the topic of Covid because it's a fantastic example to teach Bayes' theorem. Do not use this video for medical advice.
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If you rename your old videos and update their thumbnails you would get a lot more views, your channel is amazing

Kiwinov
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3:32 The only thing that gives this false "intuition" — which is *not an intuition at all but a lot of taught and learned bullshit* — is people suggesting that it's counterintuitive and somehow shouldn't be.
State that this is perfectly normal and people would not even think that it could be otherwise.

emjizone