It has been found from the past experience that of the artic

It has been found from the past experience that of the articles produced by a factory, 20 % come from Machine 1, 30% come from Machine 2, and 50% come from Machine 3. The percentages of satisfactory articles among those produced are 95% for Machine 1, 85% for machine 2, and 90% for Macine 3.

(a) An Article is chosen at random from a lot. What is the probabilty that it is satisfactory?

(b) Assuming that the article is satisfactory, what is the probabilty that it was produced by Machine 1?

Solution