For each of the following pairs of lotteries,

a$)($notice that some alternatives differ in the two lotteries!$)$

b$)$

find another pair of simple lotteries, such that there are no alternatives that have positive

probabilities in both of the lotteries $($only in one of them$)$ and the comparison between

these two lotteries is equivalent to the comparison between the two lotteries given in the

problem.