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. What is the probability

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Question 924030: 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. What
is the probability that
(a) all 3 are the same color?
(b) each color is represented?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
box containing 10 balls: 6B , 4G,
3 balls drawn, each ball being replaced in the box before the next draw is made
a) P(3 same color) = P(3B) + P(3G) = %28+6C3%29%2F%2810C3%29+%2B+%28+4C3%29%2F%2810C3%29=+%2820+%2B+4%29%2F120+ = .2
b) P(each color is represented) = 1 - P(3 same color) = .8