In: Statistics and Probability
An urn contains five red balls, six white balls, and seven blue balls, and a sample of five balls is drawn at random without replacement.
(a) What is the size of the sample space?
(b) Compute the probability that the sample contains three red balls, one white ball and one blue ball.
(c) Compute the probability that the sample contains at least one ball of each color.
(d) Compute the probability that all of the balls in the sample are the same color.