5. 0/12.5 points | Previous Answers TanFin11 7.4.021 My Notes A shelf in the Met

Question

5. 0/12.5 points | Previous Answers TanFin11 7.4.021 My Notes A shelf in the Metro Department Store contains 100 colored ink cartridges for a popular ink-jet printer. Eight of the cartridges are defective (a) If a customer selects 3 cartridges at random from the shelf, what is the probability that they are all defective? (Round your answer to five decimal places.) (b) If a customer selects 3 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)

Number of ways to select 3 defectives from 8 defective = 8C3

Therefore,

P(All three are defective) = 8C3 / 100C3

= 0.00035

b)

Number of ways to select 3 non-defective from 92 non-defective = 92C3

P( at least one defective) = 1 - P( All three are non defective)

=1 - [ 92C3 / 100C3 ]

= 1-0.777

= 0.223

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