In the question, it says the sum of events p and q, is this referring to the both section?
And also, can someone help me understand how the both section can be over 1…? Can p and q be independent and have both as greater than 1?
Same confusion for the previous problem.
\mathbb{P} (A \cap B) = \underbrace{\mathbb{P} (A) + \mathbb{P} (B)}_{\text{nothing is stopping this from being greater than 1}} - \mathbb{P} (A \cap B)
You just need that 0 \leq \mathbb{P} (...) \leq 1