Dystopia county has three bridges. In the next year, the Elder bridge has a 19% chance of collapse, the Younger bridge has a 7% chance of collapse, and the Ancient bridge has a 27% chance of collapse. What is the probability that exactly one of these bridges will collapse in the next year? (Round your final answer to four decimal places. Do not round intermediate calculations.)

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Asked Dec 11, 2019
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Dystopia county has three bridges. In the next year, the Elder bridge has a 19% chance of collapse, the Younger bridge has a 7% chance of collapse, and the Ancient bridge has a 27% chance of collapse. What is the probability that exactly one of these bridges will collapse in the next year? (Round your final answer to four decimal places. Do not round intermediate calculations.)

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Expert Answer

Step 1

It is given that,

P(Elder bridge collapse)=0.19,

P(Younger bridge collapse)=0.07,

P(Ancient bridge collapse)=0.27.

Step 2

The event exactly one of the bridges to b...

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´Elder collapsed,Younger & P = (0.19)(1–0.07)(1–0.27) Ancient not collapsed - 0.129 (Younger collapsed,Elder & Ancient not collapsed |= (1– 0.19)(0.07)(1–0.27) a 0.0414 ´Ancient collapsed,Younger & |= (1-0.19)(1– 0.07)(0.27) Elder not collapsed z 0.2034

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