A suspension bridge is located in an earthquake region. When an earthquake occurs, the probability that the bridge will collapse depends on the magnitude of the earthquake and also on the condition of the cables. The cables are either good or bad with relative chances of 4 to 1. The odds of having a strong or weak magnitude earthquake are 3 to 2. The bridge will definitely collapse if a strong earthquake occurs. The bridge will survive a weak earthquake if the cables are good. If the cables are bad, it will have a 50% chance of survival. What is the probability that the bridge will collapse during an earthquake? O a. 0.64 O b. 0.03 Oc.0.28 Od. 0.71 e. 0.0084

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A suspension bridge is located in an earthquake region. When an earthquake occurs, the probability that the bridge will
collapse depends on the magnitude of the earthquake and also on the condition of the cables. The cables are either good
or bad with relative chances of 4 to 1. The odds of having a strong or weak magnitude earthquake are 3 to 2. The bridge
will definitely collapse if a strong earthquake occurs. The bridge will survive a weak earthquake if the cables are good. If
the cables are bad, it will have a 50% chance of survival. What is the probability that the bridge will collapse during an
earthquake?
O a. 0.64
O b. 0,03
Oc.0.28
O d. 0.71
e. 0.0084
Transcribed Image Text:A suspension bridge is located in an earthquake region. When an earthquake occurs, the probability that the bridge will collapse depends on the magnitude of the earthquake and also on the condition of the cables. The cables are either good or bad with relative chances of 4 to 1. The odds of having a strong or weak magnitude earthquake are 3 to 2. The bridge will definitely collapse if a strong earthquake occurs. The bridge will survive a weak earthquake if the cables are good. If the cables are bad, it will have a 50% chance of survival. What is the probability that the bridge will collapse during an earthquake? O a. 0.64 O b. 0,03 Oc.0.28 O d. 0.71 e. 0.0084
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