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What is conditional probability and how can it be calculated?

What is Conditional Probability and How Can It Be Calculated?

Conditional probability is the likelihood of an event occurring given that another event has already occurred. It can be calculated using the formula:

[ P(A|B) = \frac{P(A \cap B)}{P(B)} ]

Where:

  • (P(A|B)) is the conditional probability of event A given event B
  • (P(A \cap B)) is the probability of both event A and B occurring
  • (P(B)) is the probability of event B occurring

Understanding conditional probability is crucial in fields like statistics, machine learning, and real-world decision-making.

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