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You have eight (8) cards. Five (5) are green and three (3) are yellow. The cards are well shuffled. Suppose that you randomly draw two

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You have eight (8) cards. Five (5) are green and three (3) are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, with replacement. Let G1 = first card is green Let G2= second card is green Use a tree diagram of the situation to help you answer the following: a. Find P(G, and G2). .3906 b. Find P(at least one green). Hint: P(at least one green) is the complement of P(no greens). c. Find P(G2| G1). d. Are G2 and G, independent events? Explain why or why not. Now suppose you randomly draw two cards, one at a time, without replacement. Let G1 = first card is green Let G2= second card is green Use another tree diagram of this new situation to help you answer the following: e. Find P(G, and G2). f. Find P(at least one green). Hint: P(at least one green) is the complement of P(no greens). g. Find P(G2|G1). h. Are G2 and G, independent events? Explain why or why not

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