Summer of Math Exposition

The problem is simple, and the answer is surprising and satisfying. You explain it clearly, give multiple perspectives, and illustrate it well. Well done.

I used to not like probability until I finally took a dedicated class and loved it! It can be very unintuitive at times, and initially this problem might look like it is unintuitive as well, but I think you could come up with a more interesting example to go over. I think most people who have some experience in math/probability would quickly shake away any thoughts of bias and recognize the symmetry. However, for the problem I think it’s explained well, I just don’t find it terribly engaging or though-provoking.

Thanks for the video. Neat visual aid.

Visuals are very helpful and straightforward. I would maybe avoid suggesting that computing the probabilities “doesn’t matter” as that may cause people to tune out; to me it was just another way of solving the problem. Editing was neat.

Motivation 3/3 Clarity 2/3 Novelty 2/3

• Short, simple, and to the point
• I do think you could spend less time describing solution 1, since solution 2 is the main focus of the video
• The animations could also be a bit faster

The video is good and well-presented, and it is explained in a way that everybody can intuitively understand. However, it doesn’t really feel “novel” in the sense that such probability/symmetry problems have already been explored many a times before, and it just doesn’t produce that charm it is trying to resonate. As a presentation, though, the video is phenomenal and excellently explained; the visuals are very helpful and guiding, and easy on the eyes.

Nice introduction with the riddle. For me, the computations were not really necessary, the symmetry argument is by far more witty and really useful for other problems of the same kind. Animation is sober but sufficient and clear.

Great video. A nice problem, very well explained in an interesting and engaging way.

The video was well done. When the problem was presented, I immediately came up with a solution similar to the second one, so the answer wasn’t particularly surprising.

At 01:54, you should have simply said: “and both triangles have the same number of outcomes”, and it would have been a perfect video. Everything afterwards is superfluous.

Very nice visuals and structure

Pithy and compact. It’s surprising how easily these sorts of things can be calculatted, yet how poor people’s intuition can be.

Enjoyed it - fun little problem.

Especially enjoyed the reveal when the matrix of outcomes got a nice staircase dissection by winner!

Your excellent visuals and clear description really help demystify probability. That topic used to trip me up. Nice work! Also I like the question at the end.

A simple but very engaging setup. I liked how the 4-vs-5 coin comparison challenges intuition and leads naturally to a more subtle mathematical idea. Clever, clear, and memorable.