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Let’s consider a simple example for rolling a 24-sided die until you get a multiple of 9...that is, either a 9 or an 18. Successive rolls of a die would appear to be independent events and the probability of getting a 9 or 18 on any given roll is \(p = \frac{1}{12}\text{.}\) What is then the likelihood that it takes more than three rolls in order for you to get your first success?
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