SOLUTION: A box contains 2 ​red, 4 white and 2 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same​ co

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains 2 ​red, 4 white and 2 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same​ co      Log On


   



Question 1146242: A box contains 2 ​red, 4 white and 2 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?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
there are 8 balls in the box
:
we can draw 2 red balls or 2 white balls or 2 green balls
:
Probability that both balls are same color = (2/8 * 1/7) +(4/8 * 3/7) +(2/8 * 1/7) = 2/56 +12/56 +2/56 = 16/56 = 2/7
: