5. Assume two individuals Alice and Bob have the same utility function for a change w in their wealth, given by U(w)=w1/3. Suppose now that one of them receives, as a gift, a lottery ticket which yields either a reward of r>0 dollars or reward of 0 dollars, with probability 21 each. Show that there exists a number b>0 having the following property: regardless of which person receives the lottery ticket, they can sell it to the other for b dollars and the sale will be advantageous to both..