Two different manufacturers, M1 and M2, produce light bulbs. A bulb produced at manufacturer M1 is broken with a probability of 0.06, and each bulb produced at manufacturer M2 is broken with a probability of 0.02. Assume that we buy three bulbs produced at the same factory, which is equally likely to be manufactured by either M1 or M2. If the first two bulbs we check is broken, what is the probability that the other one is also broken?