A and B play for a prize to win 1000 Birr. A is to through a die first and to win if he throws 6. If A fails B is to throw and to win if he throws 5 or 6. If B fails, A is to throw again to win if throws 4, 5 or 6, and so on.
a. Find the total probabilities of A’s success.
b. Find the total probabilities of B’s success
c. Their respective expectations in Birr