SOLUTION: There is a bag filled with 5 blue, 4 red and 3 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken

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Question 1135952: There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the probability instead of getting two colors the same
B: (5/12)(4/11)
R: (4/12)(3/11)
G: (3/12)(2/11)
That sum is (20+12+6)/132 or 38/132 or 19/66
The probability of getting two different colors is 1-(19/66) or 47/66 or 0.712