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You have 8 orange marbles, 7 green, and 6 yellow. select 2 marbles at random without replacement what is the probability that both marbles are the same color?

1 Answer

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Total = 8 + 7+ 6 = 21
P(Orange and Orange) = 8/21 x 7/20 = 2/15
P(Green and Green) = 7/21 x 6/20 = 1/10
P(Yellow and Yellow) = 6/21 x 5/20 = 1/14
Total Probability = 2/15 + 1/10 + 1/14 = 32/105
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