Discussion A class consists 5 engineering, 7 phycology, and 3 business students. Three students are randomly selected for a group presentation. The instructor picks one student at a time. Does the major chosen with the first pick affect the probabilities for the second and third picks? Why or why not? We will now use a probability rule to find the probability that dependent events occur. Two events are dependent when the occurrence of one event affects the probability that the other event occurs. The Multiplication Rule (General) If A and B are dependent events, the probability that events A and B occur is P (A and B) = P(A) .P(B| A) (3) Note that P(B|A) is a conditional probability, which is the probability that event B will occur given that event A has occurred. Examples 1. What is the probability of selecting three engineering students in order? 2. What is the probability of selecting a engineering student, a phycology student, and then a business student in order? 3. If we change the rules of the selection, and send the student back after it is selected, will this change the probabilities