Question 885679: A box contains 4 red, 3 white, and 3 green two balls are drawn in succession without replacement. What is the probability that both balls are the same color?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Let's label the balls, so we can distinguish between balls of the same color.
I will label the red balls R1, R2, R3, and R4.
I will label the white balls W1, W2, and W3.
I will label the green balls G1, G2, and G3.
There are  sets of two balls that could be made from those 10 balls.
How many same color pairs can be made?
with the four red balls, we can make  sets of 2 red balls.
With the white balls, we can make 3 sets of two green balls.
With the green balls, we can make 3 sets of two green balls.
In all, we can make  sets of two balls of the sane color.
Those sets, as a fraction of all possible sets of teo balls are
 .
That  is the probability that both balls are the same color.
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