試題詳解

Problem 5. We toss two fair coins simultaneously and independently. If the outcomes of the two coins are the same, we win; otherwise we lose. Let A be the event that the first coin comes up heads, B be the event that the second coin comes up heads, and C be the event that we win. Which of the following statements 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.