1.

A box contains 6 red, 4 white and 5 black balls. A person draws 4 ballsfrom the box at random. Find the probability that among the balls drawn thereis atleast one ball of each colour.

Answer» `.15C_4`
A: atleast one of the ball of each color
`overlineA`: Red,White,Black
`P(overlineA)=(.^9C_4+.^10C_4+11C_4)/(.^15C_4)`
`P(A)=1-P(overlineA)`
`P(A)=1-((.^9C_4+.^10C_4+.^11C_4)/(15C_1))`.


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