VU MATHEMATICAL ASSOCIATION OF AMERICA Loggec webwork/ fa18-bl-math-m118-11375/c

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VU MATHEMATICAL ASSOCIATION OF AMERICA Loggec webwork/ fa18-bl-math-m118-11375/c3s1s2 4 C3S1S2: Problem 4 Previous Problem Problem List Next Problem (1 point) Rework problem 4 from section 3.1 of your textbook, about events A and B of a sample space S, but assume that Pr[A-0.35 and Pr(B) = 0.45. Find PríA U B] under each of the following conditions: (1) If A C B, then Pr(A U B- 2)IfAnB-, then PrIAUBI- (3) If AnB -, then PrIA U B] Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining

Explanation / Answer

Given Pr(A)=0.35 and Pr(0.45)

(1) Here we have A is a subset of set B it means every element of A is also an element of B

now Pr(AUB)= Pr(B)=0.45

(2) In this case there is no common element between A and B hence Pr(AUB)=Pr(A)+Pr(B)-Pr(AB)=Pr(A)+Pr(B)=0.35+0.45=0.80

(3) In this case there is no common element between A and complement of B hence Pr(AUB)=Pr(A)+Pr(B)-Pr(AB)=Pr(A)+Pr(B)=0.35+0.45=0.80 [in this case for Pr(AUB) we don't need complement of B ]

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