P(A/B) Formula

About P(A/B) Formula

Conditional probability (P(A/B)) is the probability of an event A that is dependent on another event B. "The likelihood of A given B" is another name for it. The P(A/B) Formula is used to quickly calculate this conditional probability.

What is P(A/B) Formula?

Only dependent events give rise to the conditional probability P(A/B). It calculates the conditional probability of A if B occurs.

  • P(A/B) Formula
  • P(A/B) = P(A∩B) / P(B)
  • P(B/A) formula: P(B/A) = P(A∩B) / P(A)
  • Here,
  • P(A) = Probability of the event A happening.
  • P(B) = Probability of the event B happening.
  • P(A∩B) = Probability of happening of both A & B.
  • From these 2 formulas, we can derive product formulas of probability.
  • P(A∩B) = P(B) x P(A/B)
  • P(A∩B) = P(A) x P(B/A)

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P(A/B) Formula

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