Problem 5. (2.5 %) We toss two fair coins simultaneously and independently.If the outcomes of the two coins are the same, we win； otherwise we lose. LetA be the event that the first coin comes up heads, B be the event that the secondcoin comes up heads, and C be the event that we win. Which of the followingstatements is false?
(A) Events A and B are independent.
(B) Events A and C are not independent.
(C) Events A and B are not conditionally independent given C.
(D) The probability of winning is 1/2.