# SOLUTION: From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. a) all 3 are the same co

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. a) all 3 are the same co      Log On

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 Question 466543: From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. a) all 3 are the same color? b) each color is represented? Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. a) all 3 are the same color? Pick 3 black: 6C3 = 20 ways Pick 3 green: 4C3 = 4 ways ---- Pick 3 randomly = 10C3 = 120 P(3 of same color) = 24/120 ------------------------------------- b) each color is represented? P(each color is represented) = 1- P(3 of same color) = 1-(24/120) = 96/120 ============== Cheers, Stan H. ==============