E(A) = .0005 x 100,000 = 50

E(B) = .00003 x 1,500,000 = 45

E( C) = .00006 x 675,000 = 40.5

E(D) = .00004 x 1,100,000 = 44

E(E)  = .00007 x 800,000 = 56

 

Clearly, according to expected value theory, Sally should buy a ticket in Lottery E

 

Marking

5 marks for calculating values for a-e correctly

1 mark for coming to the correct conclusion.