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

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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?

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    2021-10-13T23:14:02+00:00

    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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