There are 40 balls in an urn:

Ten red balls, numbered 1,2, ... ,10 Ten yellow balls, numbered 1,2, ... ,10 Ten white balls, numbered 1,2, ... ,10 Ten black balls, numbered 1,2, ... ,10

(a) What is the probability that all the balls are red?

(b) What is the probability that all of the balls are the same color?

(c) What is the probability that all the balls have the same number?

(d) What is the probability that each of the four colors are represented?