SOLUTION: Three marbles are grabbed from a box in succession, each being
replaced in the box before the next draw is made. What is the
probability that all three marbles are the same color
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Question 1042254: Three marbles are grabbed from a box in succession, each being
replaced in the box before the next draw is made. What is the
probability that all three marbles are the same color?
Color / # of Marbles
Blue / Red
5 / 3
Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website!
Let's look at this problem this way
We have box with 8 marbles (5 blue and 3 red).
Three marbles are grabbed from the box in succession, each being
replaced in the box before the next draw is made. What is the
probability that all three marbles are the same color?
The possibility of all three are blue is 5/8*5/8*5/8
The possibility of all three are red is 3/8*3/8*3/8
To be the same color, it means it can be either blue or red. Therefore we have to add the two numbers
5/8*5/8*5/8 + 3/8*3/8*3/8
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