(b) From now on, suppose that P(A N B) = 0.2. What is the probability that the selected student has at least one of these two types of cards? %3D 0.9 (c) What is the probability that the selected student has neither type of card? 0.1 (d) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard. ANB' O A'NB O A'UB O AUB' Calculate the probability of this event. 0.4

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
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Can someone please explain it to me ASAP???!!! I need help part d!!!
(b) From now on, suppose that P(A N B) = 0.2. What is the probability that the selected student has at least one of these two types of cards?
%3D
0.9
(c) What is the probability that the selected student has neither type of card?
0.1
(d) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.
O AN B'
O A'NB
O A'UB
O AUB'
Calculate the probability of this event.
0.4
(e) Calculate the probability that the selected student has exactly one of the two types of cards.
0.5
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Transcribed Image Text:(b) From now on, suppose that P(A N B) = 0.2. What is the probability that the selected student has at least one of these two types of cards? %3D 0.9 (c) What is the probability that the selected student has neither type of card? 0.1 (d) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard. O AN B' O A'NB O A'UB O AUB' Calculate the probability of this event. 0.4 (e) Calculate the probability that the selected student has exactly one of the two types of cards. 0.5 Need Help? Read It Submit Answer ENG DELL Esc F3 F4 F5 F6 FB F9 F10 F11 Priscr ト F12 Insert %23 24 & プ 8. E R Y U P ock D G J K L C V B M く Alt Alt Ctri この
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 Mast
Suppose that P(A) = 0.7 and P(B) = 0.4.
(a) Could it be the case that P(A N B) = 0.5? Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) S P(B).]
O Yes, this is possible. Since B is contained in the event AN B, it must be the case that P(B) S P(A N B) and
0.5 > 0.4 does not violate this requirement.
O Yes, this is possible. Since AN B is contained in the event B, it must be the case that P(B) S P(A N B) and
0.5 > 0.4 does not violate this requirement.
O No, this is not possible. Since B is contained in the event ANB, it must be the case that P(A N B) S P(B). However
0.5 > 0.4 violates this requirement.
O No, this is not possible. Since B is equal to AN B, it must be the case that P(A N B) = P(B). However 0,5 > 0.4 violates this reguirement.
%3!
O No, this is not possible. Since AN B is contained in the event B, it must be the case that P(A N B) S P(B). However
0.5 > 0.4 violates this requirement.
(b) From now on, suppose that P(A N B) = 0.2. What is the probability that the selected student has at least one of these two types of cards?
0.9
(c) What is the probability that the selected student has neither type
card?
0.1
(d) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.
O ANB"
O A'NB
O A'UB
338 P
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2/3/202
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Transcribed Image Text: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 Mast Suppose that P(A) = 0.7 and P(B) = 0.4. (a) Could it be the case that P(A N B) = 0.5? Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) S P(B).] O Yes, this is possible. Since B is contained in the event AN B, it must be the case that P(B) S P(A N B) and 0.5 > 0.4 does not violate this requirement. O Yes, this is possible. Since AN B is contained in the event B, it must be the case that P(B) S P(A N B) and 0.5 > 0.4 does not violate this requirement. O No, this is not possible. Since B is contained in the event ANB, it must be the case that P(A N B) S P(B). However 0.5 > 0.4 violates this requirement. O No, this is not possible. Since B is equal to AN B, it must be the case that P(A N B) = P(B). However 0,5 > 0.4 violates this reguirement. %3! O No, this is not possible. Since AN B is contained in the event B, it must be the case that P(A N B) S P(B). However 0.5 > 0.4 violates this requirement. (b) From now on, suppose that P(A N B) = 0.2. What is the probability that the selected student has at least one of these two types of cards? 0.9 (c) What is the probability that the selected student has neither type card? 0.1 (d) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard. O ANB" O A'NB O A'UB 338 P ENG 2/3/202 DELL Esc F1 F1 F2 F3 F4 F5 FG F7 F8 F9 F10 F11 F12 PriScr Delete Insert %23 $ & 2 4 5 Backspace Tab R Y =Lock F G H J K L En V M ? Fn Alt Alt Ctrl Home 14 5000 2--
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