Suppose you have a friend who is exactly like you in terms of risk preference: his vNM utility function is also u$($w$)=$ w$^1/2,$ and his initial wealth is also Rs $100.$ You propose to split the gamble evenly with him, i$.$e$.,$ if you win, each of you would win Rs $78$ and if you lose, each of you would lose of Rs $50.$ Discuss the benefit of risk pooling of the problem.