Answer the following questions related to the basic concepts of probability.
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
Answer the following questions related to the basic concepts of probability.
(i) Define independent events.
(ii) Define mutually exclusive events.
(iii) With mathematical reasoning, explain whether two events A and B with P(A)>0 and P(B)>0 can be both independent and mutually exclusive.
(iv) Give one real-life example of a pair of events that are independent but not mutually exclusive, and justify your choice.