B. 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 the analogous event for MasterCard. Suppose that P(A) = 0.6 and P(B) = 0.4. a. Could it be the case that P(A n B) = 0.5? Why or why not? b. From now on, suppose that P(A n B) = 0.3. What is the probability that the selected student has at least one of these two types of cards? c. Describe, in terms A and B, the event that the selected student has a Visa card but not a MasterCard, and then calculate the probability of this event. d. Calculate the probability that the selected student has exactly one of the two types of cards.

b. Use the rewritten rule to find P(Z) if P(Y OR Z) = 0.71 and P(Y) = 0.42. 92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following statement MUST be false: P(H|G) = 0.4. b. Find P(H OR G). c. Are G and H independent or dependent events? Explain in a complete sentence. This OpenStax book is available for free at http://cnx.org/content/col11562/1.18

For a given event, A, P(A) = 0.34.  For a second given event, B, P(B) = 0.44.  Additionally, P (A ⋃ B) = 0.58.  Based on this information, are A and B mutually exclusive? - maybe  - no  - impossible to determine  - yes

Suppose that A and B are two independent events for which P(A)=0.23 and P(B)=0.65. Find each of the following: A. P(A|B)= B. P(B|A)= C. P(AandB)=  D. P(AorB)=