Parts and materials for skis made by Company C are supplied by two suppliers. Supplier$$ A$\text{'}$s materials make up $35\%$ of what is$$ used, with Supplier B providing the rest. Past records indicate that $20\%$ of Supplier$$ A$\text{'}$s materials are defective and $5\%$ of Supplier$$ B$\text{'}$s materials are defective. Since it is impossible to tell which supplier the materials came from once they are in$$ inventory, the manager wants to know which supplier more likely supplied the defective materials the supervisor has brought to his attention. Provide the manager this information $.$ It is more likely that s

$($Supplier A or B$)$

supplied the defective$$ materials, because the probability that this supplier supplied the defective materials is