Thanks for the invitation, just the place to improve math skills.

I'm better at geometry, I got 2 medals from Mathematica contests, and I'm very bad at probability, always ending being a fail at it, can't understand when to use the formulaes in differents problems, in fact, I don't really even understand matrixes!

I got really good scores on the Mathematicas, I got a medal from Byron-Germain and Pythagoras, they were really easy, I did the AMC 3 days ago, and doing my second Gauss this year.

In fact, the first question I sent you is a question from the AIME contest because I preparing for my next contest, AIME is extremely hard 15 questions 3 hours exam, my dream is to somehow get in that contest by doing very well on the AMC 12, not going to be easy.

My favourite thing to do is math contests, because most of the time, whenever the contest results are handed out, I always get the highest score, except the Fibonacci contest, because then I get more bragging rights to my friends, I'm gonna fail AMC for sure, 25 questions, only 40 minutes, time is too tight, and the problems are extra hard, only 96 seconds a problem.

I live in Canada, but can do American Mathematics Competitions still, because I go to a math school where they have lots of math contests.

I also like logical game theory problems, but I don't exactly even have an idea of the Law of Sines, Cosines, and Tangents, and I feel like learning calculus first, which is quite stupid, because trigonometry is way before calculus.

I find math quite a easy subject, and all my other classmates find math a very difficult subject, which is an advantage for me to win all the contests at my home school.

I'm 12, a seventh grader, so that's why AMC 8 is so hard for me;, more like an exam for high school kids.

Unfortunately, I have to wait another 362 days to do AMC 8 again, but by then, I'll do much better than this time, probably know all of trigonometry by then, and I find the birthday problem quite interesting, it takes only 23 people to be 50% sure that at least 2 people share the same birthday,and when there are 50 people, the probability meets 97% which is incredible, you can even do a survey on just 50 people and 97 out of 100 times, at least 2 people will same the same birthday, this is the type of math problems that interest me the most of all, another will be if a 4% is the probability that a fighter will not get shot down, then what is the probability that after 50 missions, you won't get shot down? The probability is a whooping 97%, almost to 100%, you can get this using Euler's Number.

Hi;

You are correct about the Birthday problem. But your second problem of not being shot down is not correct.

Paradoxes exist in probability too but they are most likely to be found in logic or set theory.