conditional probability

conditional probability (plural conditional probabilities)

1. The probability that an event will take place given the restrictive assumption that another event has taken place, or that a combination of other events has taken place. (Mathematically, the definition would be that the conditional probability of B given A is equal to the joint probability of A and B divided by the probability of A.)

• The "probability of event B given event A" can be represented symbolically as ${\displaystyle P(B|A)}$ .
• The "probability of event B given events A and C" can be represented symbolically as ${\displaystyle P(B|A,C)}$ .

• joint probability