This question was reported to be popular and well attempted by majority of the candidates.
However, a few of them did not list the elements of M and N as required but drew the sample
space when 2 dice are thrown. Some of them who listed these elements did not do so
completely. Majority of them were reported not to be able to state correctly the condition for
which events are mutually exclusive. Candidates were expected to show that M = { (4,6) , (5,5), (6,4}. N = { (1,4), (2,5), (3,6), (4,1),
(5,2), (6,3) }. Probability of M = 3/36 = 1/12. Probability of N = 6/36 = 1/6.
Probability of Nor M:1/12 + 1/6 = 1/4. M and N are mutually exclusive because no element is common to both sets. Thus the two events cannot happen at the same time i.e. n(M n N) = O.
It was also reported that while listing the elements of N, some candidates would list (1,4) but
not (4,1).