Are events b and c independent

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Refer to given Example, in which you and your friend Vanessa enter a drawing for a free lunch in Week 1 and again in Week 2. Events defined were A = you win in Week 1, B = Vanessa wins in Week 1, C = Vanessa wins in Week 2.

a. Are events B and C independent? Explain.

b. Suppose that after Week 1, the cards that were not drawn as the winning card are retained in the bowl for the drawing in Week 2. Are events B and C independent? Explain.

Example
Winning a Free Lunch Some restaurants display a glass bowl in which customers deposit their business cards, and a drawing is held once a week for a free lunch. The bowl is emptied after each week's drawing. Suppose that you and your friend Vanessa each deposit a card in 2 consecutive weeks. Define

Event A = You win in Week 1.

Event B = Vanessa wins in Week 1.

Event C = Vanessa wins in week 2.

Reference no: EM131411797

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