Exercise 4| Conditional Probability| Worked Example

Check out the fourth example on conditional probability below, we walk through the solution step-by-step, making it easier for you to understand. In a factory, machines A, B, and C produce electronic components. Machine A produces 16% of the components, machine B produces 50% of the components and machine C produces the remaining components. Some of the components are defective. Machines A, B and C produce 4%, 3% and 7% defective components respectively. (a) Draw a tree diagram to represent this information Find the probability that a randomly selected component is (b) defective (c) produced by machine B and is defective (d) Given that a randomly selected component is defective, which machine is likely to have