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?

Question

Mathematics

Amina Lowe

7 March, 01:08

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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Answers (1)

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Porter · Answer 1

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