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A factory utilizes two different production lines ($A$ and $B$) for manufacturing gizmos. Since production line $A$ is faster, it is able to produce $60\%$ of the gizmos, with the remaining gizmos coming off of production line $B$. It is known that $2\%$ of the gizmos from production line $A$ and $4\%$ of the gizmos from production line $B$ will contain some small defect.

Based upon this, if a gizmo is randomly selected from among all gizmos produced at this factory and the gizmo is found to have a defect, what is the probability the gizmo came off production line $B$?











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