(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Dystopia county has three bridges. In the next year, the Elder bridge has a 17% chance of collapse, the Younger bridge has a 6% chance of collapse, and the Ancient bridge has a 24% chance of collapse. What is the probability that exactly one of these bridges will collapse in the next year? (Round your answer to four decimal places.)

2. Relevant equations

3. The attempt at a solution

I thought the answer was the average of the 3 probabilities, which is 15.6666%. Then I realized that it would be the chance that each will collapse, not the chance that exactly one will collapse. However, I'm not sure what equation I need to use in order to find this. We've been using combinations and permutations in class, but I'm not sure if they are relevant for this problem.

Thanks

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# Probability of bridge collapsing

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