Working please!

(10 points) Suppose the following lotteries. i Lottery A gives $2 million with 10%, $1 million with 30%, and $0 with 10%. i Lottery B gives $2 million with 12%, $1 million with 3%, and $0 with 82%. 1' Lottery C gives $2 million with 40%, $1 million with 10%, and $0 with 40%. o Lottery D gives $2 million with 3%, $1 million with 24%, and $0 with 23%. Show one example of preference relations which violate Independence of the expected utility theorem, and explain the reason