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Without replacement:

P(one green and one blue) = P(drawing green then blue) + P(drawing blue then green)

= (6/23)(9/22) + (9/23)(6/22) = 104/506 = 52/253

With replacement:

P(one green and one blue) = P(green)*P(blue) = (6/23)(9/23) = 54/529

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