solution

Carl and Sally play the following game: Carl will write a character between A and Z inclusive on a piece of paper without showing it to Sally and tells Sally which number he has written. Carl may lay or tell the truth. Sally then must guess whether or not Carl has told the truth. If Carl is lied and Sally guess, Carl must pay Sally 60 YTL; If Carl lied and Sally cannot guess, Carl will collect 10 YTL from Sally. If Sally guesses correctly when Carl told him the truth, Carl will pay Sally 15 YTL. If Carl tell the truth but Sally cannot guess, Sally pays 10 YTL to Carl. Determine the value of this game and the optimal strategies of both Carl and Sally.