Probability Question

Nov 2019
2
0
UK
I have worked through the following question, if you someone could see if my answer is right, I would be extremely grateful.
Machines A, B, C, D make washers, each machine makes 32%, 23%, 27%, 18% respectively. Of the washers made by Machines A, B, C & D, 1.6%, 3.2%, 1.9% and 2.5% (respectively) are faulty.
A component is selected at random, find the probability the component is faulty.
I used the probability the washer was manufactured on each machine with its respective probability of being faulty, the sum of which I got to be 0.02211.
Am I right?
 

romsek

MHF Helper
Nov 2013
6,647
2,994
California
correct
 
Nov 2019
2
0
UK
Brilliant, thanks for the confirmation romsek.