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.Com
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.
-----------

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Both red:
Both white:
Both green:

Both the same color:

RELATED QUESTIONS

A box contains 2 ​red, 4 white and 4 green balls. Two balls are drawn out of the... (answered by Boreal)
A box contains 4 ​red, 2 white and 3 green balls. Two balls are drawn out of the box in (answered by Alan3354,ikleyn)
A box contains 44 ​red, 33 white and 44 green balls. Two balls are drawn out of the (answered by Shin123,ikleyn)
A box contains 2 ​red, 4 white and 2 green balls. Two balls are drawn out of the box in (answered by rothauserc)
a box contains 3 red, 3 white, and 3 green balls. Two balls are drawn out of the box in... (answered by stanbon)
A box contains 4 red, 3 white, and 3 green two balls are drawn in succession without... (answered by KMST)
Please help me solve this problem :) A box contains 2 red, 3 white, and 4 blue balls.... (answered by TigerAlgebra)
A box contains 4 white balls and 3 red balls. Three balls are drawn from the box without (answered by Boreal)
A box contains 12 red balls and 8 white balls. Two balls are drawn in succession. Find... (answered by flame8855)