If events are independent then that tell you .
Each of these pairs is independent: , , .
So you know that .
can someone please explain in this question If events and A and B are independent of each other, than why is it that the p (A ∩ B ′) = 1/4?Events A and B are independent.
Given also that
P(A) = 3/4 and P(A ∩ B ′ ) = 1/4
(a) P(A ∩ B),
(c) P(A′ ∩ B ′ ).
Is that not the probability that event 'A' happens and 'B' does not , should it not also equal 3/4 ? As my understanding is if both events are independent of each other than the probability of 'A' happening is the same weather or not 'B' has happened.