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# help

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A hat contains 2 red marbles, 3 blue marbles, and 4 green marbles.  You choose two different marbles at random.  What is the probability that they are the same color?

Jun 11, 2020

$$\mathcal P(\text{same color}) = \dfrac29\cdot\dfrac18 + \dfrac39\cdot \dfrac28 + \dfrac49\cdot\dfrac38 = \dfrac5{18}$$