SOLUTION: A box contains 4 ​red, 3 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same&#
Algebra ->
Probability-and-statistics
-> SOLUTION: A box contains 4 ​red, 3 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same&#
Log On
Question 1116050: A box contains 4 red, 3 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same color? Found 2 solutions by stanbon, greenestamps:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A box contains 4 red, 3 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same color?
-----
# of same-colored balls:: 4C2+3C2+4C2 = 6+3+6 = 15
# of random pairs:: 11C2 = 55
----
P(both same color) = 15/55 = 3/11
---------------
Cheers,
Stan H.
-----------