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A shelf in the Metro Department Store contains 80 colored ink cartridges for a popular ink-jet printer. Five of the cartridges are defective.

(a) If a customer selects 2 cartridges at random from the shelf, what is the probability that both are defective? (Round your answer to five decimal places.)

(b) If a customer selects 2 cartridges at random from the shelf, what is the probability that at least 1 is defective? (Round your answer to three decimal places.)

Explanation / Answer

A shelf in the Metro Department Store contains 80 colored ink cartridges for a popular ink-jet printer. 5 of these cartridges are defective.

(a)
80C2 = 3160
5C2 = 10
10/3160 = 0.003164


(b)
75C2 = 2775 (the number of combinations with no defective cartridges)
1 - 2775/3160 = 0.12183

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