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?

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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