Doing it again and again for recording purposes strips the joy out of it. It's like solving a puzzle that you've already solved before. What's the point? One thing stood out to me yesterday (actually, I wrote this a few weeks ago). There was a probability problem that was tricky. At first, I wasn't sure how to answer it. I remember thinking for a few minutes, unsure of myself. It was when I tried to break down the problem that it opened up for me. Then it started to make sense. But one last challenge was a question involving the sum. It was finding the probability that the sum of numbers appearing after tossing two dice is positive. I thought hard and I thought well. Then I said, "let's try some values then." It was when I tried to substitute values to make the sum positive that I noticed that there are only two possibilities: either they are both even or they are both odd. They have to have the same parity, basically. So that solved it. What at first look...
Embracing Uncertainty