I have invented a machine that rolls a six-sided die and tells me the result. Unfortunately, it only reports the correct result 80% of the time. In the event that the machine does not report the correct result, it may report any one of the five possible incorrect results with probability 1/5. If the machine reports that the die has landed on 2, what is the probability that the die has actually landed on 2? P( BA)P(A) Use P(A|B) = P( BA)P(A) + P(B|A) P(A)