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Explain the difference between precision and recall in the context of a binary classification problem. Provide a detailed explanation of each metric, including their formulas and the scenarios where optimizing for one over the other might be necessary.
A
Precision and recall are identical metrics used interchangeably in all classification problems.
B
Precision measures the accuracy of the positive predictions, while recall measures the model's ability to detect all positive instances.
C
Precision is used in scenarios where the cost of false positives is high, and recall is used when the cost of false negatives is high.
D
Both precision and recall are used only in multi-class classification problems.