Probability

A factory has a total of three manufacturing units, M1,M2, and M3, which produce bulbs independent of each other. The units M1,M2, and M3 produce bulbs in the proportions of 2:2:1, respectively. It is known that 20% of the bulbs produced in the factory are defective. It is also known that, of all the bulbs produced by M1,15% are defective. Suppose that, if a randomly chosen bulb produced in the factory is found to be defective, the probability that it was produced by M2 is ‌

2

5

. If a bulb is chosen randomly from the bulbs produced by M3, then the probability that it is defective is ____ .