Could it be the case that P(A ∩ 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)≤P(B).]
O Yes, this is possible. Since B is contained in the event A∩B, it must be the case that P(B)≤P(A∩B) and 0.5>0.3 does not violate this requirement.
O Yes, this is possible. Since A∩B is contained in the event B, it must be the case that P(B)≤P(A∩B) and 0.5>0.3 does not violate this requirement.
O No, this is not possible. Since B is equal to A∩B, it must be the case that P(A∩B)=P(B). However 0.5>0.3 violates this requirement.
O No, this is not possible. Since A∩B is contained in the event B, it must be the case that P(A∩B)≤P(B). However 0.5>0.3 violates this requirement.
O No, this is not possible. Since B is contained in the event A∩B, it must be the case that P(A∩B)≤P(B). However 0.5>0.3 violates this requirement.
