Math
posted by Rena on .
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?

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 doublefailed both)
= 19% total
d. 100%19% that failed =81% chance product did not fail.