SOLUTION: I have 27 balls. 14 are red and 13 blue. I deceded to group the balls into a group of 3s ? the balls will be choosen randomly. What is the probablity that the group will have 2 r

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: I have 27 balls. 14 are red and 13 blue. I deceded to group the balls into a group of 3s ? the balls will be choosen randomly. What is the probablity that the group will have 2 r      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 167212: I have 27 balls. 14 are red and 13 blue. I deceded to group the balls into a group of 3s ?
the balls will be choosen randomly.
What is the probablity that the group will have 2 red and 1 blue.
2)-the probability that the group will have all reds or all blue
Answer by scott8148(5895) About Me  (Show Source):
You can put this solution on YOUR website!
possible groups of 3 out of 27 __ 27C3 __ 27*26*25/(3*2*1) __ 2925

possible groups of 2 red out of 14 __ 14C2 __ 14*13/(2*1) __ 91

possible groups of 1 blue out of 13 __ 13

probability of 2 red and 1 blue __ 91*13/2925 __ .404 (approx)

possible groups of 3 red out of 14 __ 14C3 __ 14*13*12/(3*2*1) __ 364

probability of 3 red __ 364/2925 __ .124 (approx)

possible groups of 3 blue out of 13 __ 13C3 __ 13*12*11/(3*2*1) __ 286

probability of 3 blue __ 286/2925 __ .098 (approx)