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)
Download all the Maths formulas from the HT maths page.