I can answer all questions up to, and including, graduate level mathematics. I do not have expertise in statistics (I can answer questions about the mathematical foundations of statistics). I am very much proficient in probability. I am not inclined to answer questions that appear to be homework, nor questions that are not meaningful or advanced in any way.
I am a PhD educated mathematician working in research at a major university.
Various research journals of mathematics. Various talks & presentations (some short, some long), about either interesting classical material or about research work.
BA mathematics & physics, PhD mathematics from a top 20 US school.
Various honors related to grades, various fellowships & scholarships, awards for contributions to mathematics and education at my schools, etc.
In the past, and as my career progresses, I have worked and continue to work as an educator and mentor to students of varying age levels, skill levels, and educational levels.
|Gregory||09/29/16||10||10||10||Thank you very much for the detailed .....|
|Geoffrey||08/30/16||10||10||10||Thanks. The SF story I mentioned had .....|
|Woody||03/20/16||10||10||10||Clyde, you are incredibly smart and interesting .....|
|Andrew||02/01/16||10||10||10||I was hoping that you confirm what .....|
The key to determining whether the problem is asking you to count combinations or permutations is whether order matters. A permutation accounts for order, while a combination does not. The problem states
Assuming the payout is the same, then yes, the two games are the same. Each lottery ticket is (essentially) independent -- they are random, so winning or losing one has no effect on the next ticket
Your idea sort of makes sense -- you could divide up the 4088, then divide the remainder, and then the remainder, until the remainder was very small (less than $1 or $0.01 perhaps). However, there is
Well, first of all, this game isn't very safe at all. If you spin a roulette wheel and land on 00, they don't shoot you. There would be thousands of people killed at casinos all over the world. This would
Hello, thanks for this interesting question. I think it would be difficult to address the entirety of this very open-ended inquiry, but I think it's important get you pointed in the right direction.