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At a quality control checkpoint on a manufacturing assembly line, 8% of the items failed check A, 10% failed check B, and 2% failed both checks A and B.

a. If a product failed check A, what is the probability that it also failed check B?
b. If a product failed check B, what is the probability that it also failed check A?
c. What is the probability that a product failed either check A or check B?
d. What is the probability that a product failed neither check A nor check B?

  • math -

    Failed A only: 6&
    Failed B only: 8%
    Failed A and B: 2%
    Failied neither: 84%

    a. 2/8 = 1/4 = 25%
    b. 2/10 = 1/5 = 20%
    c. 6% + 8% + 2% = 16%
    d. 100% - 16% = 84%

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