1.Consider an urn containing 40 balls.Each ball is either blue or red.Each ball is stamped with a number: either 1 or 2 or 3.There are exactly 24 blue balls in the urn.There are exactly 10 balls stamped with the number 1 in the urn.A ball has been selected "at random" from the urn (i.e., each of the 40 balls has an equal chance of being selected).Let Abe the outcome that this ball is stamped with the number 1. Let B be the outcome that this ball is blue.

a.Calculate Pr(A) and Pr(B) .Be sure to explain how you arrived at your answer.

b.Suppose that outcomes and are independent.

I.How many of the 24 blue balls are stamped with the number 1? Be sure to explain your reasoning.

Let C be the outcome that the selected ball is stamped with the number

2.Suppose that exactly 8 of the 16 red balls are stamped with the number 2. If outcomes B and C are independent, how many blue balls are stamped with the number 2? Be sure to explain your reasoning.