Question 16
Suppose a factory manufactures products on three machines A, B and C. Suppose 45% of total output comes from machine A, 40% of total output comes from machine B and 15% of total output comes from machine C. From the past data, it is known that 10% of products by machine A are defectives, 20% of products by machine B are defectives and 15% of products by machine C are defectives. What is the probability that the product has come from machine C given that it is a defective?