“Following aircraft accidents, a detailed investigation is conducted. The probability that an accident due to structural failure is correctly identified is 0.9 and the probability that an accident that is not due to structural failure being identified incorrectly as due to structural failure is 0.2. If 25% of all aircraft accidents are due to structural failures find the probability that an aircraft accident is due to structural failure given that it has been diagnosed as due to structural failure.”
I think this would be (.25 X .9 X .8)/ All the things that could happen ie (.75 X .1 X .2) X (

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