Allan and Beth currently have 2 and 3, respectively. A fair coin is tossed. If the result of the toss is H, Allan wins 1 from Beth, whereas if the coin toss results in T, then Beth wins 1 from Allan. This process is then repeated, with a coin toss followed by the exchange of 1, until one of the two players goes broke (one of the two gamblers is ruined). We wish to determine a_2=P(Allan is the winner midhe starts with 2) To do so, let's also consider a_i=P (Allan wins he starts with i) for i=0,1,3,4, and 5. What are the values of a_0 and a_5?