2.a:The gambler claims that one of the casino games they play is a martingale, and that the game is afairgame.You know for a fact that the underlying process is a martingale.Can the gambler be right?

2.b:The gambler controls the size of their bet.Assume there is no maximum they can bet, and they have unlimited capital or lines of credit.What is their expected long-term winning amount?

2.c:Does your answer to part a seem to be consistent with your answer to part b?Why or why not?In other words, is the game still fair or not?

2.d:How does the casino minimize the risks associated with the results of part b?