Independent Probability
When the probability of an event is not affected by the other event
Conditional Probability
The probability that the other event has occurred
Mutually Exclusive
When 2 event can’t both happen at the same time (not independent)
Dependent Probability
When the occurrence of an event effects the probability of the other
P(A I B) (Conditional)
P(A I B) = P(A ∩ B) / P(B)
P(A ∪ B) (Conditional)
P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
P(A I B) (Independent)
P(A I B) = P(A)
P(A ∩ B) (Independent)
P(A ∩ B) = P(A) × P(B | A)