Math

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At a quality control checkpoint on a manafacturing assembly line, 10% of the items failed check A, 12% failed check B, and 3% 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 -

    a. 10% out of 100% failed A or 10/100
    3% of 100% failed A & B or 3/100
    3% that failed A(10%) also failed B or 3/10

    b. 12% out of 100% failed B
    3% out of 100% failed A & B or 3/12

    c. failed A - 10%
    failed B - 12%
    sub total 22%(-3% counted double-failed both)
    = 19% total

    d. 100%-19% that failed =81% chance product did not fail.

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