A company that manufactures watches buys its clockwork from 3 different suppliers. 40% are made by Acme Steel, and 30% each come from Brock’s Clocks and Clear Gears. If the gears are out of spec in a proportion of 0.4%, 0.7%, and 0.9% respectively, what are the chances that a gear, which is out of spec, came from Brock’s Clocks?

What are the chances it came from Acme?