Reconsider Exercise 11.1.19. 

a. Describe how you could use a simulation analysis to approximate the probability that Heather would win the game if it were finished. 

b. Use the following results from simulating 1,000,000 repetitions of this process/game to approximate the probability that Heather would win the game if it were finished: 

c. Use the following results from simulating 1,000,000 repetitions of this process/game to approximate the probability that the game would not end after two additional tosses:

Data from Exercise 11.1.19

Unfinished game: Suppose that Heather and Tom play a game that involves a series of coin flips. They agree that if 5 heads occur before 5 tails do, then Heather wins the game. But if 5 tails occur before 5 heads do, then Tom wins the game. The first five coin tosses result in: H₁, T₂, T₃, H₄, H₅. Unfortunately, the game is interrupted at that point and cannot be finished. 

Transcribed Image Text:

Winner Number of repetitions Heather 687,163 Tom 312,837