The quality control department of a factory has established that a lot containing

The quality control department of a factory has established that a lot containing 90% or more of good items in a lot of good quality. The following plan has been established. A sample of 4 items is taken if 1 or none is defective, the lot is accepted, otherwise a second sample of 2 items is taken if the second sample does not contain defective items, the lot is accepted, otherwise it is rejected. Assume that the lot is very large and therefore the probability of extracting a defective item is constant.

Calculate the probability of accepting a lot containing 25% of defective items.