A warranty period of one year is given with a computer laptop. From past experience, it is known that in 15% of cases, the electric connectors are not kept dry during the warranty period. The probability is 3.5% that, when these electric connectors are not kept dry, the laptop will fail during the warranty period. On the other hand, if the connector is kept dry, the chance that the laptop will fail is just 1%.

Let F be the event of a failure.

Let D be the event that the laptop is kept dry. P(D) = 1 - .15 = .85

If the connector is presented which has failed during the warranty period, what is the probability that it has not been kept dry, find P(D^C|F)?