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A shipment has 22 products, of which 3 are defective. Three people in turn pick up, each person picks up a product at random (non-refundable). Calculate the probability that out of the three people who come in to pick up at least one person picks up a waste product.

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mathmate

Answer:

Probability of no one picking up a defective product = 571 / 1540

Step-by-step explanation:

Total number of items = 22

non-defective items = 22-3 = 19

Probability of all three picking up non-defective products

= 19/22 * 18/21 * 17/20

= 969/1540

Probability of at least one picking up a defective product

= 1 - 969/1540

= 571/1540

(=0.371, approx.)