In a series of football matches, the probability that Team P wins a match against Team Q is 1/3 and the probability that the match ends in a draw is 1/5. If the two teams play five matches, what is the probability that all five matches end in a draw?
Select the correct option.
A) 1/1625  B) 1/2225  C) 1/3125  D) 1/4225  E) 1/5425
P(5 draws)=(1/5)^5=1/3125   The answer is 1/3125.
<result>C</result>
In a series of football matches, the probability that Team P wins a match against Team Q is 1/3 and the probability that the match ends in a draw is 1/5. If the two teams play five matches, what is the probability that all five matches end in a draw?