MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
One fair six–sided die is rolled. Let
A: the outcome is an even number,
B: the outcome is a multiple of 3,
C: the outcome is greater than 4.
(i) Write the sample space S for this experiment.
(ii) List the favourable outcomes for each of the events A, B and C.
(iii) State, with reason, whether the pair of events (A, B) is mutually exclusive and whether it is independent.
(iv) State, with reason, whether the pair of events (A, C) is mutually exclusive and whether it is independent.