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A box contains 6 red, 4 white and 5 black balls. A person draws 4 balls from the box at random. Find the probability that among the balls drawn there

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A box contains 6 red, 4 white and 5 black balls. A person draws 4 balls from the box at random. Find the probability that among the balls drawn there is atleast one ball of each colour. Select the correct answer from above options

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.15 C 4 .15 A: atleast one of the ball of each color ¯¯¯ A A : Red,White,Black P ( ¯¯¯ A ) = . 9 C 4 + . 10 C 4 + 11 C 4 . 15 C 4 P P ( A ) = 1 − P ( ¯¯¯ A ) P P ( A ) = 1 − ( . 9 C 4 + . 10 C 4 + . 11 C 4 15 C 1 ) P .

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