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A box contains 5 green ,4 yellow and 3 white marbles ,Three marbles are drawn at random , what is the probability that they are not of the same colour

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A box contains 5 green ,4 yellow and 3 white marbles ,Three marbles are drawn at random , what is the probability that they are not of the same colour ? A. 40/44 B. 44/41 C. 41/44 D. 40/39 Select the correct answer from above options

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Correct Answer - C n ( E ) = 5 C 3 + 4 C 3 + 3 C 3 = 10 + 4 + 1 = 15 n n ( S ) = 12 C 3 = 220 n P = n ( E ) n ( S ) = 15 220 = 3 44 P (it is probability when all 3 are of same colour ) ∴ ∴ Required probability = 1 − 3 44 = 41 44 =

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