SOLUTION: a box contains 6 red,4 white and 5 black balls .A person draws 4 balls from the box at random. find the probability among the balls drawn there is at least one ball of each color

Question 286006: a box contains 6 red,4 white and 5 black balls .A person draws 4 balls from the box at random. find the probability among the balls drawn there is at least one ball of each color
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A box contains 6 red, 4 white and 5 black balls.
A person draws 4 balls from the box at random.
A find the probability among the balls drawn there is at least one ball of each color
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Ans: 1 - P(no red or no white or no black)
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= 1 - [P(no red)+P(no white)+P(no black)]
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= 1 - [9C4 + 11C4 + 10C4]/15C4
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= 1 - 666/1365
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= 0.5121....
Cheers,
Stan H.
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