Which of the following statements is always correct? and = P(A B) P(A) * P(B) or = + P(A B) P(A) P(B) 1-P(Ac) P(A)= None of these choices. Analysis: A. Incorrect. 1-P(Ac) is always correct. P(A)= B. Incorrect. 1-P(Ac) is always correct. P(A)= C. Correct. 1-P(Ac) is always correct. P(A)= D. Incorrect. 1-P(Ac) is always correct. P(A)= ANSWER: C Ref: Section 5.2 - 5.3 If and are any two events with = .8 and = .7, then is A B P(A) P(B|Ac) P(Ac and B) 0.56 0.14 1.50 None of these choices. Analysis: A. Incorrect. is 0.14 P(Ac and B) B. Correct. is 0.14 P(Ac and B) C. Incorrect. is 0.14 P(Ac and B) D. Incorrect. is 0.14 P(Ac and B) ANSWER: B Ref: Section 5.2 - 5.3
Which of the following statements is always correct? P(A and B) = P(A) * P(B) P(A or B) = P(A) + P(B) P(A)= 1-P(Ac) None of these choices. Analysis: A. Incorrect. P(A)= 1-P(Ac) is always correct. B. Incorrect. P(A)= 1-P(Ac) is always correct. C. Correct. P(A)= 1-P(Ac) is always correct. D. Incorrect. P(A)= 1-P(Ac) is always correct. ANSWER: C Ref: Section 5.2 - 5.3 If A and B are any two events with P(A) = .8 and P(B|Ac) = .7, then P(Ac and B) is 0.56 0.14 1.50 None of these choices. Analysis: A. Incorrect. P(Ac and B) is 0.14 B. Correct. P(Ac and B) is 0.14 C. Incorrect. P(Ac and B) is 0.14 D. Incorrect. P(Ac and B) is 0.14 ANSWER: B Ref: Section 5.2 - 5.3