SOLUTION: from a box containing 6 black balls and 4 green balls, 3 balls are drawn in sucession, each ball being replaced in the box before the next draw is made. what is the probability tha
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Question 261263: from a box containing 6 black balls and 4 green balls, 3 balls are drawn in sucession, each ball being replaced in the box before the next draw is made. what is the probability that all 3 are the same color? each color is presented?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
probability that all 3 are the same color?
they could be all green or they could be all black.
probability they will be all green is (4/10)^3.
probability they will be all black is (6/10)^3.
probability they will be all green or all black is (4/10)^3 + (6/10)^3.
that equals .064 + .216 = .28.
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