The points all fit in some semicircle exactly when at least one of these events occurs. We want the probability of the union E1∪E2∪⋯∪ENE_1 \cup E_2 \cup \cdots \cup E_NE1∪E2∪⋯∪EN. If we could just add them, we would get:
Large, untested, poorly documented codebases are tricky to work with. They’re very hard to reason about.
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