The question is:

A survey of consumers in a particular community showed that 10% were dissatisfied with plumbing jobs in their homes. Half the complaints dealt with plumber A, who does 40% of the jobs. Find Probability of

1) an unsatisfactory job, given the plumber was A

2) a satisfactory job, given the plumber was A.

I think I can solve this by:

P(unsatisfactory given A) = .5 x .4 = .20

P(satisfactory given A) = 1 - .20 = .80

Is this correct?