Question 1056099
Look at 2000 components
Machine A produces 900 and 54 (6%) are defective  846 not--900
Machine B produces 600 and 24 (4%) are defective, 576 not--600
Machine C produces 500 and 15 (3%) are defective, 485 not--500
Totals===========2000----93-------------------1907 not-2000
Given that one component is defective, the probability it is from A is 54/93 (18/31)=58.0%