Question

Players A and B take turns at rolling two dice, starting with A. The first person to get a sum of at least 9 on a roll of the two dice wins the game.

Find the probability that A will win the game if:

(a) the game is just about to begin

(b) 8, 4, 3, 7 and 7 have already been rolled

(c) a draw is to be declared in the event of no-one winning within 6 rolls.

Answer #1

Players A and B take turns at rolling two dice, starting with A.
The first person to get a sum of at least 9 on a roll of the two
dice wins the game. Find the probability that A will win the game
if:
(a) the game is just about to begin
(b) 8, 4, 3, 7 and 7 have already been rolled
(c) a draw is to be declared in the event of no-one winning
within 6 rolls.

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