Let A , B , C be three events and A - , B - , C - be their corresponding complementary event. If the probabilities of events B , A ∩ B ∩ C - and A - ∩ B ∩ C - are 5 6 , 1 2 and 1 4 respectively, then the probability of the event B ∩ C is

Question

Let A , B , C be three events and A - , B - , C - be their corresponding complementary event. If the probabilities of events B , A ∩ B ∩ C - and A - ∩ B ∩ C - are 5 6 , 1 2 and 1 4 respectively, then the probability of the event B ∩ C is, 1 12, 1 4, 1 6, 1 3

MARKS App · Accepted Answer

From the venn diagram, note that P B = P B ∩ C + P A ∩ B ∩ C - + P A - ∩ B ∩ C - Hence, P B ∩ C = 5 6 - 1 2 - 1 4 = 1 12

Search any question & find its solution

Looking for more such questions to practice?