Chapter 1: Problem 17
If \(C_{1}, \ldots, C_{k}\) are \(k\) events in the sample space \(\mathcal{C}\), show that the probability that at least one of the events occurs is one minus the probability that none of them occur; i.e., $$P\left(C_{1} \cup \cdots \cup C_{k}\right)=1-P\left(C_{1}^{c} \cap \cdots \cap C_{k}^{c}\right)$$
Short Answer
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.