PQ6. Please only answer d and e Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. Suppose that P(A) = 0.6 andP(B) = 0.3.(a) Could it be the case that P(ANB) = 0.5? Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) ≤ P(B).]O No, this is not possible. Since An B is contained in the event B, it must be the case that P(A NB) ≤ P(B). However 0.5 > 0.3 violates this requirement.O Yes, this is possible. Since AB is contained in the event B, it must be the case that P(B) ≤ P(AB) and 0.5 0.3 does not violate this requirement.O No, this is not possible. Since B is contained in the event A n B, it must be the case that P(ANB) ≤ P(B). However 0.5 > 0.3 violates this requirement.O No, this is not possible. Since B is equal to An B, it must be the case that P(ANB) = P(B). However 0.5 > 0.3 violates this requirement.O Yes, this is possible. Since B is contained in the event A n B, it must be the case that P(B) ≤ P(ANB) and 0.5 > 0.3 does not violate this requirement.(b) From now on, suppose that P(ANB) = 0.2. What is the probability that the selected student has at least one of these two types of cards?(c) What is the probability that the selected student has neither type of card?(d) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.Ο Αʹ ΠΒOAN B'O A'U BO AUB'Calculate the probability of this event.(e) Calculate the probability that the selected student has exactly one of the two types of cards.

1) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard. O A'N B О АП В' O A'U B O AUB' Calculate the probability of this event. ) Calculate the probability that the selected student has exactly one of the two types of cards.

1) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard. O A'N B О АП В' O A'U B O AUB' Calculate the probability of this event. ) Calculate the probability that the selected student has exactly one of the two types of cards.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...

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