Box 1 contains three defective and seven non-defective items, and Box 2 contains one defective and nine non-defective items. We select a box at random and then draw one item from the box.

Question: Box 1 contains three defective and seven non-defective items, and Box 2 contains one defective and nine non-defective items. We select a box at random and then draw one item from the box.

(a) What is the probability of drawing a non-defective item?
(b) What is the probability of drawing a defective item?
(c) What is the probability that box 2 was chosen, given a defective item is drawn?

Solution:

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