es an overload, there is a 1% chance of a network blackout, with the percentages for B and C being 2% and 3%, respectively. During a heat wave there is a 55% chance that substation A alone will experience an overload, with the percentages for stations B and C being 30% and 15%, respectively. (Although two or more substations have failed, th
A power network involves substations A, B, and C. Overloads at any of these substations might result in a blackout of the entire system. Records over a very long period of time indicate that if substation A alone experiences an overload, there is a 1% chance of a network blackout, with the percentages for B and C being 2% and 3%, respectively. During a heat wave there is a 55% chance that substation A alone will experience an overload, with the percentages for stations B and C being 30% and 15%, respectively. (Although two or more substations have failed, this has happened so rarely that we may use 0% as the percentage of the time that it has occurred, as that is the number to the nearest integer.) A blackout due to an overload occurred during a particular heat wave. What is the probability that the blackout occurred at substation A?
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