Binomial distributions | Probabilities of probabilities, part 1

Sooo.... who is going to write a Chrome Extension to do the math for us when shopping on Amazon?

Also a good approach: reading the 1 star reviews and checking for grammar/spelling and signs of stupidity.

Your animations have become astoundingly good and nuanced over the years. The way all the (50 choose 48) outcomes were displayed, starting slow, going faster in the middle and then ending slowly again... THAT'S a satisfying detail.

This channel is a gift to math community, never seen a better explainer than Grant.

"Which one of these are better? Here's a three part series to answer that question."

When I see ten perfect ratings, I assume ten friends of the seller bought the item, gave the item a perfect rating as "Verified Buyers", and then received refunds offline.

I did my masters in statistics an I still find these types of videos invaluable to refresh my own intuition.

Your level of clarity when explaining stuff is so refreshing! Your videos are a pleasure to watch, I’m excited for parts 2 and 3

"Let's choose a random number": 0.42 Certainly not deliberate! Also, appreciated the Tesla pun with the cars. "Nikola" lol

"Which one should you buy from?" The one with the prime checkmark lol

I am a second year applied and computational mathematics student and I can say without a doubt probability is one of the most confusing and counterintuitive areas of mathematics. I can't wait to see how you approach Bayesian statistics in part 2. This video, like all of your others, was very enlightening and thought provoking.

The quality of your videos is off the charts, man. Color coding things in the formula was SO smart and helpful. Really great stuff here.

"i'm not going to make a probability series" - 3B1B

Love thinking about binomial distributions. A lot of what I do at work is looking at flood magnitudes and their probability. A lot of the way the constructed environment looks (and costs) is based on societal risk tolerance and where we choose to draw those lines in the sand. Great video!

I don't know what insight this offers, but seeing you add the probability of having a good or bad experience as a superposition of states made me think of that small change as an infinitesimal, as in differentiation, of the probability measure. I was delighted to find you have a whole series leading to the beta. Great work! Thank you for all your help.

If i can go back in time re-start college as a freshman, I would binge watch all of his videos. He makes math so much easier and interesting to understand.

Part 2 will be out soon. I'm going to implement changes based on supporter feedback, and in the meantime am also working on a video simulating epidemics. Thanks for your patience, and stay tuned! We'll also talk more later about how to address the ways this obviously simplified model differs from reality. First, we have to establish the basic building blocks to work with. Some people have asked about if the smaller graph around 10:40 should actually be much taller, since “the area under it should be 1”. If it was a distribution, this would absolutely be true, but those two graphs are simply functions, where s is a variable, not probability density functions for s. To see how that pdf comes about, that’s where Bayes’ rule comes in, to be covered in part 2.

Me who literally just finished Baye's Theorem, seeing this at midnight: So this is the power of Ultra Instinct?

You sir are a major MVP! I don't know what I would do without this video. So thankful for all the knowledge and the lucid explanations/visualisations! Keep up the good work!

I had this exact same question a few years back and couldn't figure out for the life of me how to quantify my instincts. This video has saved me ;--;