Question

Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective. If an item is drawn at random from each box. Find the probability that both items are non-defective.

Answer 1

P = 25/42

Explanation:

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;

5/6 * 5/7 = 25/42