In a series of eight football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 8 draws in the series?
Choose the correct answer:
A) 24/576  B) 125/864  C) 1/25  D) 1/65536  E) 1/5
Since the probability of a draw is 1/4, then the probability of 8 draws in 8 matches is (1/4)^8=1/65536.   Answer: 1/65536.
<result>D</result>
In a series of eight football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 8 draws in the series?