Independent Events

What are Independent Events?

If the outcome of one event has no bearing on the likelihood of the other, they are considered independent events.
1. When two occurrences are independent, both probability relationships must hold: P(A) ∩ P(B) = P(A) . P(B)

The product of their unconditional probabilities is the likelihood that both A and B will occur.
2. P(A|B) =P(A). Given that B occurs, the unconditional likelihood of A occurring is just the conditional chance of A occurring. This suggests that the occurrence of B has no bearing on the likelihood of A.

Why are independent events important?

The independence of occurrences is significant since it determines whether the rule of the product should be used to compute the probability. As long as the events you’re dealing with are independent, utilising the product rule to calculate probabilities is quite simple.