A factory uses three machines. Machine A A\,A makes 40% of the components, machine B B\,B makes 35% and machine C C\,C makes the rest. The probabilities that a component is defective are 0.02, 0.03 and 0.05 for machines AAA, B B\,B and C C\,C respectively.
Find the probability that a randomly selected component is defective.
Given that a component is defective, find the probability that it was made by machine CCC.
164 exam-style questions on WJEC A Level Maths 4.1 Probability (A-level only), covering 4.1.1 Probability (A-level only), 4.1.2 Probability (A-level only), and 4.1.3 Probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.