The probabilities of poor print quality given no printer problem, misaligned paper

From Mathematics, Probability

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The probabilities of poor print quality given no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0, 0.3, 0.4, and 0.6, respectively. The probabilities of no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0.8, 0.02, 0.08, and 0.1, respectively.

(a) Determine the probability of high ink viscosity given poor print quality.

(b) Given poor print quality, what problem is most likely?

(Hint: Define Events A, A2, A3, A, for no printer problem, misaligned paper, high ink viscosity, and printer-head debris, respectively. Define event B for poor print quality. Then use Bayes' Rule]

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