Two teaching methods for a statistics class, online and face-to-face, are available during the course of an academic yea

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Two teaching methods for a statistics class, online andface-to-face, are available during the course of an academic year.To date, 1 out of every 20 students has failed the online class and2 out of every 25 students have failed the face-to-face class.However, the online class is only offered 15% of the time due tofaculty constraints and the face-to-face class is offered the other85% of the time. What is the probability that a student who failedthe course took the class online? Round your answer to four decimalplaces. (Do not round intermediate values.)