(b) P((An B)) Using the Rule for Complements, the probability P((A n B)) can be written a P((An B)C)=1-P(An B) We are given the probabilities P(A) = 0.4 and P(B) = 0.8, but not P(A n B). Note that since we do not know if A and B are independent events, we cannot use the formula P(A n B) = P(A)P(B). To calculate P(A n B), first determine the events in the intersection A n B. We are given that A = {E₂, E3), and B = {E₁, E₂, E4, Es). Their intersection is the collection of simple events that are common to both A and B, so An B includes the following event(s). (Select all that apply.) DE₁ DE₂ follows. DE3 DEA DES

(b) P((An B)) Using the Rule for Complements, the probability P((A n B)) can be written a P((An B)C)=1-P(An B) We are given the probabilities P(A) = 0.4 and P(B) = 0.8, but not P(A n B). Note that since we do not know if A and B are independent events, we cannot use the formula P(A n B) = P(A)P(B). To calculate P(A n B), first determine the events in the intersection A n B. We are given that A = {E₂, E3), and B = {E₁, E₂, E4, Es). Their intersection is the collection of simple events that are common to both A and B, so An B includes the following event(s). (Select all that apply.) DE₁ DE₂ follows. DE3 DEA DES

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 31E

See similar textbooks