Explain addition theorem in probability

The addition theorem in probability, also known as the addition rule, is a fundamental principle that allows us to calculate the probability of the union of two or more mutually exclusive or non-mutually exclusive events. It's a core concept in probability theory and is used to compute probabilities when events can occur together or separately. The addition theorem has two main forms: one for mutually exclusive events and another for non-mutually exclusive events.

1. **Mutually Exclusive Events:**
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