Question

An urn contains eight red balls, eight white balls, and eight blue balls, and sample of six 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 1

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(RRRRR) + P(WWWWW) + P(BBBBB)
P = 3 x (7/4885)
P = 21/4885