The Dartboard Paradox

I will point dots on the dartboard. What is the probability of each dot getting pointed?

The answer to this math problem is " (1/∞)%", which is officially defined as "0%" because" (1/∞)" is officially defined as "0", but there are two problems in this math problem. First, if the probability is "0%", then none of the points on the dartboard will get picked, but I had still picked 10 points on the dartboard. The second problem is that if all the points have "0%" of getting picked, then the total probability will be "0%", but the total probability should be "100%".

A video that can help you understand more about the dartboard paradox: https://www.youtube.com/watch?v=ZA4JkHKZM50&ab_channel=3Blue1Brown