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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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.