Answer the following questions related to the concept of independence in probability.
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
Answer the following questions related to the concept of independence in probability.
(i) Define independence of two events A and B in words.
(ii) Explain, without using symbols, how independence differs from mutual exclusivity.
(iii) Can two events be both mutually exclusive and independent at the same time? Give reasons for your answer.
(iv) Provide one real-life example (not involving coins or dice) of a pair of events that are likely to be independent, and briefly justify your choice.