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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
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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