You are a trapped in a math problem!
You and an unknown number of other people, who have the same decision to make as you, and are unable to communicate, are seeing a trolley come to an intersection. The trolley has a 75% chance of going down a path with no people, but a 25% chance of going down the path with a person tied to the tracks. Each lever adjusts the probability that it goes down the path according to f(x)=|x-0.25|+0.5, where x is the percentage of people who pull the lever. (if 50% pull the lever, it is the same 75% chance, if any single person pulls the lever, but less than 50%, the chance of running over the person is higher than the original 25%, if at least 75% of people pull the lever, the empty track is guaranteed.) All participants know this information, but also know that if they pull the lever, they will be tied to the tracks next, and the only way to prevent future iterations for no one to pull the lever. Do you pull the lever?