Some restaurants display a glass bowl in which customers deposit their business cards, and a drawing is held once a week for a f
ree lunch. Suppose you and your friend Vanessa each deposit a card in two consecutive weeks. Define Event A = You win in week 1. Event B = Vanessa wins in week 1. Event C = Vanessa wins in week 2. Events A and B are dependent events. If you win (event A), then Vanessa cannot win (event B cannot happen). In this case, P(B) = 0. If you do not win (A does not happen), it is possible that Vanessa could win, so P(B) ≠ 0. Notice that events A and B refer to the same random circumstance: the drawing in week 1. Events A and C are independent. Knowing whether you win in the first week (event A) gives no information about the probability that Vanessa wins in the second week (event C). Notice that events A and C refer to two different random circumstances: the drawings in separate weeks. Select all that apply. (a) Which events are dependent? A and C B and C A and B (b) Which events are independent? A and B B and C A and C
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