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Conditional Probability · cho.sh

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Conditional Probability

Conditional Probability

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In Probability,

In the real world, probabilities are not straightforward, like $P \rightarrow Q$ . Therefore we translate into $P(B|A) \approx 1$ . If $A$ happens, then B is most likely to happen. This defines as

P (B ∣ A

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)

=

\frac{P (A \cap B)}{P (A)}

P(B|A) = {P(A \cap B) \over P(A)}

P (B ∣ A) = \frac{P ( A \cap B )}{P ( A )}

This means

{P(A \cap B)} = P(B|A) P(A)

$P(B|A)$ is the likelihood and $P(A)$ is the prior.

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