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With replacement, the odds of the second extraction do not change after the first, because of independence of the two extractions. Hence, the probability of extracting two reds is (3/5)*(3/5), the probability of two greens is (2/5)*(2/5) and that of one red and one green is 2*(3/5)*(2/5).

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Q: Diana has a box containing 3 red and 2 green marbles. She selects 2 marbles at random. Find the probability if she replaces the 1st marble before she draws the second?
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