SOLUTION: A box contains 13 balls out of which 8 are white balls and 5 are black balls. Three balls are drawn at random? What is the probability that balls of the both colors are drawn?
Algebra ->
Probability-and-statistics
-> SOLUTION: A box contains 13 balls out of which 8 are white balls and 5 are black balls. Three balls are drawn at random? What is the probability that balls of the both colors are drawn?
Log On
Question 1184397: A box contains 13 balls out of which 8 are white balls and 5 are black balls. Three balls are drawn at random? What is the probability that balls of the both colors are drawn? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! 13C3 are the number of choices or 286.
8C2*5C1 is one way and that equals 140.
8C1*5C2 is the other way and that equals 80.
There are 66 other ways which are 8C3 or 56, and 5C3, or 10
the answer is 220/286 or 0.769.