Independence Revisited
The following four statements are equivalent
- A and B are independent events
- P(A and B) = P(A) * P(B)
- P(A|B) = P(A)
- P(B|A) = P(B)
The last two are because if two events are independent, the occurrence of one doesn't change the probability of the occurrence of the other. This means that the probability of B occurring, whether A has happened or not, is simply the probability of B occurring.
