Question

Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. (a) Could it be the case that P(A nB)-0.57 Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) s P(8).] e No, this is not possible. Since A n B is contained in the event B, it must be the case that P(A nB) s PrB). However 0.5 0.4 violates this requirement. Yes, this is possible. Since B is contained in the event A n B, it must be the case that P(B) s PYA n B) and 0.50.4 does not violate this requirement Yes, this is possible. Since A n B is contained in the event 8, it must be the case that PrB) P(A n B) and 0.5 0.4 does not violate this requirement. No, this is not possible. Since B is equal to A n B, It must be the case that P(A N B) P(B). However 0.5>0.4 violates this requirement. 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). However 0.5 0.4 violates this requirement From now on, suppose that RA n 8)·0.2, what is the probability that the selected student has at least one of these two types of cards? 0 73 (b) (c) What is the probability that the selected student has neither type of card? 03 (d) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard. A'UB AUB Activate Windows Go to Settings to activate Winda

Answer 1