We are asked to calculate the probability that if two items are selected from two different boxes, what is the probability that bought are non-defective.
In the first box A, the probability of selecting a non-defective item is 5/7
In the second box B, the probability of selecting a non-defective item is 5/6
Now the probability of selecting 2 items, one from each of the boxes and both are non-defective are as follows;
