SOLUTION: In a certain manufacturing process, the probability of a type I defect is 0.09, the probability of a type II defect is 0.05, and the probability of having both types of defects is

Question 872689: In a certain manufacturing process, the probability of a type I defect is 0.09, the probability of a type II defect is 0.05, and the probability of having both types of defects is 0.02. Find the probability that neither defect occurs.
Answer by indra89811(24) (Show Source): You can put this solution on YOUR website!
Let P(A) =Type 1 is defective=0.09
P(B)=Type 2 is defective=0.05
P(A and B)=Both are defective=0.02
P(A or B)=P(A)+P(B)-P(A and B)
P(Type 1 is defective or type 2 is defective) indicates
P(A or B)=0.09+0.05-0.02=0.12
Probability that none are defective=1-0.12=0.88
Ans=0.88
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