That was how I had to convince myself. I wrote a python program to simulate it a million times, Thinking for sure I was going to disprove everyone. But the resu

That was how I had to convince myself. I wrote a python program to simulate it a million times, Thinking for sure I was going to disprove everyone. But the result clearly showed 2/3 probability of a good outcome if you switched. This let my mind switch from “this can’t be true” to “this is true, now I need to intuit why”.