What is the equality for P(B given A) when A and B are independent?

When events A and B are independent, the occurrence of event A does not affect the probability of event B occurring. This relationship can be mathematically expressed using conditional probability.

In the case of independent events, the conditional probability of B given A, denoted as P(B | A), is equal to the probability of B by itself, which is P(B). This means that knowing event A has occurred does not provide any additional information about the occurrence of event B. Thus, the equality holds true that P(B | A) = P(B) when A and B are independent.

This principle is fundamental in probability theory, helping to clarify how independent events interact. As such, the correct answer reflecting this relationship is the probability of event B occurring alone, independent of event A.