Can someone please explain it to me ASAP??!!! ANOTHERConsider 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) = 0.7 and P(B) = 0.4.(a) Could it be the case that P(AN 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) and0.5 0.4 does not violate this requirement.O Yes, this is possible. Since ANBIS contained in the event B, it must be the case that P(B) S P(A N B) and0.5 0.4 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(A N B) S P(B). However0.5 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 requirement.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). However0.5 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?0.5(c) What is the probability that the selected student has neither type of card?0.82:39 PMA 0 ENG2/3/2022DELLFIF4FSF10F11F12.PriserIrvsertDelete%23%246BackspaceTabERYPCaps LockAGJKLEnterVBNMく?ShiftFnAltAltCtri+HomeEndion 14 5000 2 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?0.5(c) What is the probability that the selected student has neither type of card?0.8(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'NBO A'UBO 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.0.5Need Help?Read ItENGDELLEscF1F2F3F4F5FSF6F7F8F9F10F11F12PriScrInsertDelete@%232$&4Backspac%3DERY{PAGKMAltAltCtri

Question

Can someone please explain it to me ASAP??!!! ANOTHERConsider 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) = 0.7 and P(B) = 0.4.(a) Could it be the case that P(AN 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) and0.5 > 0.4 does not violate this requirement.O Yes, this is possible. Since ANBIS contained in the event B, it must be the case that P(B) S P(A N B) and0.5 > 0.4 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(A N B) S P(B). However0.5 > 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 requirement.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). However0.5 > 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?0.5(c) What is the probability that the selected student has neither type of card?0.82:39 PMA 0 ENG2/3/2022DELLFIF4FSF10F11F12.PriserIrvsertDelete%23%246BackspaceTabERYPCaps LockAGJKLEnterVBNMく?ShiftFnAltAltCtri+HomeEndion 14 5000 2 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?0.5(c) What is the probability that the selected student has neither type of card?0.8(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'NBO A'UBO 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.0.5Need Help?Read ItENGDELLEscF1F2F3F4F5FSF6F7F8F9F10F11F12PriScrInsertDelete@%232$&4Backspac%3DERY{PAGK>MAltAltCtri<-Uome

Accepted Answer

Given that,
P(A)=0.7 , P(B)=0.4
a. P(A∩B)=0.5
No, this is not possible. since A∩B is contained in…