tudent has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(A N B) = 0.3, suppose that P(C) = 0.2, P(A N C) = 0.12, P(B N C) = 0.1, and P(A N Bn C) (a) What is the probability that the selected student has at least one of the three types of cards? (b) What is the probability that the selected student has both a Visa card and a MasterCard but not an American Express card? (c) Calculate P(B | A) and P(A | B). P(B | A) = P(A | B) = Interpret P(B | A) and P(A | B). (Select all that apply.) O P(A | B) is the probability that given that a student has a Visa card, they also have a MasterCard. O P(A | B) is the probability that a student does not have a MasterCard or a Visa card. O DIRLA) is the probability that given that a student bas a MasterCard they also have a Visa card
tudent has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(A N B) = 0.3, suppose that P(C) = 0.2, P(A N C) = 0.12, P(B N C) = 0.1, and P(A N Bn C) (a) What is the probability that the selected student has at least one of the three types of cards? (b) What is the probability that the selected student has both a Visa card and a MasterCard but not an American Express card? (c) Calculate P(B | A) and P(A | B). P(B | A) = P(A | B) = Interpret P(B | A) and P(A | B). (Select all that apply.) O P(A | B) is the probability that given that a student has a Visa card, they also have a MasterCard. O P(A | B) is the probability that a student does not have a MasterCard or a Visa card. O DIRLA) is the probability that given that a student bas a MasterCard they also have a Visa card
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B be the analogous event for MasterCard, and let C be the event that t
student has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(A N B) = 0.3, suppose that P(C) = 0.2, P(A N C) = 0.12, P(B N C) = 0.1, and P(A N Bn C) = 0.09.
(a) What is the probability that the selected student has at least one of the three types of cards?
(b) What is the probability that the selected student has both a Visa card and a MasterCard but not an American Express card?
(c) Calculate P(B | A) and P(A | B).
P(B | A) =
PA Β ) -
Interpret P(B | A) and P(A | B). (Select all that apply.)
O P(A | B) is the probability that given that a student has a Visa card, they also have a MasterCard.
O P(A | B) is the probability that a student does not have a MasterCard or a Visa card.
O P(B | A) is the probability that given that a student has a MasterCard, they also have a Visa card.
O P(B | A) is the probability that given that a student has a Visa card, they also have a MasterCard.
O P(A | B) is the probability that given that a student has a MasterCard, they also have a Visa card.
O P(B | A) is the probability that a student does not have a MasterCard or a Visa card.
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