MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
A coin is tossed twice.
(i) Write the sample space S for this experiment.
(ii) Let A= “exactly one head occurs” and B= “at least one tail occurs”. Decide, with reasons, whether the pair (A,B) is
(a) mutually exclusive,
(b) exhaustive,
(c) complementary.
(iii) If the coin is fair, find P(A∪B) and P(A∩B).