Plan B. Here's another attempt at developing a good strategy for the dice game in Exercise 33. Instead of stopping after a certain number of rolls, you could decide to stop when your score reaches a certain number of points.

a) How many points would you expect a roll to add to your score?

b) In terms of your current score, how many points would you expect a roll to subtract from your score?

c) Based on your answers in parts a and b, at what score will another roll break even ?

d) Describe the strategy this result suggests.