Let and be two events defined on the same sample space such that
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
Let A and B be two events defined on the same sample space such that P(A)=0.4, P(B)=0.5 and P(A∩B)=0.20.
(i) Verify whether events A and B are independent.
(ii) Calculate P(A∣B) and interpret the result in the context of independence.
(iii) Briefly distinguish between independence and mutual exclusivity, giving one numerical example of mutually exclusive events to support your explanation.