We need to use conditional probabilities here.

P(Machine correctly tuned | product not faulty) = 0.95 * 0.99/(0.95 * 0.99 + 0.05 * 0.6)

=~ 0.97

where

0.95 * 0.99 = Prob of Machine correctly tuned and product not being faulty

denominator = Overall Probability of the machine being non faulty