Answer.......

1. Picking out Balls from an Um: Suppose that you have an urn that has 5 balls: One is red (R), one is blue (B), one is green (G). one is yellow (Y) and one is purple (P). You perform the following experiments: (a) You chose a ball and then return it to the urn. You do this three times so that a total of three balls are chosen. What are the total number of possible outcomes from this exercise? You keep track of the order in which the balls are chosen. (b) You do the same thing as in (a), but now you don't replace a ball after it is chosen. How many possible outcomes are there now? Again, you care about the order in which the balls were chosen. (c) Now, you do the same thing as in (b), but you don't care about the order in which the balls were chosen. How many color combinations could you get