Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let 8 be the analogous event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(AB) = 0.3, suppose that P(C) = 0.2, P(ANC) = 0.15, P(BNC) = 0.1, and P(A n Bn C) = 0.07. (a) What is the probability that the selected student has at least one of the three types cards? (b) What is the probability that the selected student has both a Visa card and a MasterCard but an American Express card? (c) Calculate P(B | A) and P(A | B). P(BIA) = P(A | B) = Interpret P(B | A) and P(A | B). (Select all that apply.) P(BIA) is the probability that given that a student has a Visa card, they also have a MasterCard. P(A | B) is the probability that a student does not have a MasterCard or a Visa card. P(BIA) is the probability that given that a student has a MasterCard, they also have a Visa card. P(A | B) is the probability that given that a student has a Visa card, they also have a MasterCard. P(BIA) is the probability that a student does not have a MasterCard or a Visa card. P(A | B) is the probability that given that a student has a MasterCard, they also have a Visa card.
Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let 8 be the analogous event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(AB) = 0.3, suppose that P(C) = 0.2, P(ANC) = 0.15, P(BNC) = 0.1, and P(A n Bn C) = 0.07. (a) What is the probability that the selected student has at least one of the three types cards? (b) What is the probability that the selected student has both a Visa card and a MasterCard but an American Express card? (c) Calculate P(B | A) and P(A | B). P(BIA) = P(A | B) = Interpret P(B | A) and P(A | B). (Select all that apply.) P(BIA) is the probability that given that a student has a Visa card, they also have a MasterCard. P(A | B) is the probability that a student does not have a MasterCard or a Visa card. P(BIA) is the probability that given that a student has a MasterCard, they also have a Visa card. P(A | B) is the probability that given that a student has a Visa card, they also have a MasterCard. P(BIA) is the probability that a student does not have a MasterCard or a Visa card. P(A | B) is the probability that given that a student has a MasterCard, they also have a Visa card.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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