SOLUTION: A certain jar consists of seven green marbles, five black and four red marbles. If three marbles are drawn at random, find the probability that all three marbles are the same col

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Question 203798: A certain jar consists of seven green marbles, five black and four red marbles. If three marbles are drawn at random, find the probability that all three marbles are the same color.

If needed, round to two decimal places.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A certain jar consists of seven green marbles, five black and four red marbles. If three marbles are drawn at random, find the probability that all three marbles are the same color.
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P(3 green or 3 black or 3 red) = P(3 green) + P(3 black) + P(3 red)
= [7C3/16C3] + {5C3/16C3) + (4C3/16C3)]
= [35+10+4]/560
= 49/560
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Cheers,
Stan H.