Question

A car manufacturing plant has three car chassis production machines, M1, M2 and M3. For historical reasons, a car rig on the production line has a 0.6, 0.3 and 0.1 probability of going to each machine respectively. If the three machines add a chassis to a rig without fault with 0.55, 0.60 and 0.30 probabilities respectively, what is the probability that a rig with a chassis fault came from M2?

Answer 1