6. Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/4, 1/8, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time?

MATLAB: An Introduction with Applications
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6. Accidents on highways are one of the main causes of death or injury in developing
countries and the weather conditions have an impact on the rates of death and injury. In
foggy, rainy, and sunny conditions, 1/4, 1/8, and 1/21 of the accidents result in death,
respectively. Sunny conditions occur 60% of the time, while rainy and foggy conditions
each occur 20% of the time.
Given that an accident without deaths occurred, what is the conditional probability that
it was foggy at the time?
Transcribed Image Text:6. Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/4, 1/8, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time?
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