A manufacturing company changes an acceptance scheme on items from a production line before they are shipped. An inspector takes 1 item at random from a box of 22 items, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. If any of the three inspectors find a defective, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped.
(a) What is the probability that a box containing 2 defectives will be shipped?
(b) What is the probability that a box containing only 1 defective will be sent back for screening?
(a) The probability that a box containing 2 defectives will be shipped is ______.
(Round to four decimal places as needed.)
(b) The probability that a box containing only 1 defective will be sent back for screening is ______.
(Round to four decimal places as needed.)