The sample space of an experiment is = {5, 6, 7,}. If the probability that the

The sample space of an experiment is Ω = {5, 6, 7,…}. If the probability that the event {i} occurs is three times the probability that the event {i + 1} occurs, calculate

(i) the probability of any elementary event, {i}, in this experiment;

(ii) the probability that the outcome is an even integer;

(iii) the probability that the outcome is an odd integer;

(iv) the probability that the outcome is a multiple of 3.