Problem 4. (2.5 %o) Which of the following statement is NOT true? (A) If A B, then P( A ) ≤ P( B ). (B) If P( B ) ＞ 0, then P(A|B) ≥ P( A ). (C) P(A∩B) ＞ P( A ) +P( B ) - 1. (D) P(A∩BC) = P(A U∪B) - P( B ).

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. 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.

Problem 4. (2.5 %o) Which of the following statement is NOT true?
(A) If A B, then P( A ) ≤ P( B ).
(B) If P( B ) ＞ 0, then P(A|B) ≥ P( A ).
(C) P(A∩B) ＞ P( A ) +P( B ) - 1.
(D) P(A∩B^C) = P(A U∪B) - P( B ).

其他試題