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. 

a. List the sample space of all possible outcomes for finishing the game, starting with the 6th flip, using notation similar to that of the coin-toss results given above.  

b. Identify which outcomes comprise the event that Heather wins, and which comprise the event that Tom wins. 

c. Do you think it’s reasonable to consider these 10 outcomes to be equally likely? Explain why or why not.