SOLUTION: An urn contains nine red balls, nine white balls, and nine blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that all of the bal

Algebra ->  Permutations -> SOLUTION: An urn contains nine red balls, nine white balls, and nine blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that all of the bal      Log On


   

Question 984434: An urn contains nine red balls, nine white balls, and nine blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28RRRRR%29=%289%2F27%29%288%2F26%29%287%2F25%29%286%2F24%29%285%2F23%29=7%2F4885
Since there are also nine of the other color balls, the probabilities of all white and all blue are the same.
To get the probability of the same color, add the individual color probabilities.
P=P%28RRRRR%29%2BP%28WWWWW%29%2BP%28BBBBB%29
P=3%287%2F4885%29
P=21%2F4885