In a series of football matches, the probability that Team P wins a match against Team Q is 1/5 and the probability that the match ends in a draw is 2/3. If the two teams play five matches, what is the probability that all five matches end in a draw?
Options.
A) 2/3	B) 4/9	C) 8/27	D) 16/81	E) 32/243
P(5 draws)=(2/3)^5=32/243   The answer is 32/243.
<result>E</result>
In a series of football matches, the probability that Team P wins a match against Team Q is 1/5 and the probability that the match ends in a draw is 2/3. If the two teams play five matches, what is the probability that all five matches end in a draw?