SOLUTION: If the probability of a certain defect in a product is 0.05 and the probability of a different defect in the product is 0.02. What is the probability of one or both of these defect

Algebra ->  Probability-and-statistics -> SOLUTION: If the probability of a certain defect in a product is 0.05 and the probability of a different defect in the product is 0.02. What is the probability of one or both of these defect      Log On


   

Question 1015336: If the probability of a certain defect in a product is 0.05 and the probability of a different defect in the product is 0.02. What is the probability of one or both of these defects occurring in a single product?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Defect 1 present: P=0.05
Defect 1 not present : P=1-0.05=0.95
Defect 2 present: P=0.02
Defect 2 not present : P=1-0.02=0.98
Defect 1, not defect 2: P=0.05%280.98%29=0.049
Defect 2, not defect 1: P=0.02%280.95%29=0.019
Defect 1, defect 2 : P=0.05%280.02%29=0.001
So then summing those probabilities,
P=0.049%2B0.019%2B0.001=0.069
.
.
.
You could have also figured out the probability that neither defect exists,
P=0.95%280.98%29=0.931
The complement would be either one defect or both defects exist so,
P=1-0.931=0.069