During some Internal training, I sometime explain the weakness of visual detection, by simple Mathematic example. (In order to reinforce the need to use error proof systems.)
Let's assume for the exercise, that a control visual, operator will catch around 70% of defective part (Still a 30% of defective part left).
To reach a 99,7% of detection probability, we will need to put 5 Visual Control (5 differents operators controling the same control point).
To make this calculation, I'm using the Probability formulae :
P(rejects being identified by at least one inspector) = 1 – (1- e)^n
where e = inspection effectiveness (85% in the example)
n = number of 100% inspections.
Let's comment that Juran also define the "standard" accuracy of Visual control about 85%. (I know that this value could be very variable according to all specific conditions )
Have a look to this good blog, that's explain it better.
Search for the Blog of Harish with 100-visual-inspection-being-human for more info.
Conclusion: If you can: Try to find an automatic error proof system, that's the only way according to me to avoid problems...
KR
Djoss