1.Consider an urn containing 100 balls.Each ball is either green or blue.Each ball is stamped with a number: either 1 or 2 or 3.There are exactly 75 green balls.There are exactly 40 balls stamped with the number 3 in the urn.A ball has been selected "at random" from the urn (i.e., each of the 100 balls has an equal chance of being selected).Let A be the outcome that the selected ball is stamped with the number 3. Let Bbe the outcome that the selected 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 blue balls are stamped with the number 3? Be sure to explain your reasoning.

Let C be the outcome that the selected ball is stamped with the number 1.Suppose that exactly 15 of the 75 green balls are stamped with the number 1. If outcomes B and C are independent, how many blue balls are stamped with the number 1? Be sure to explain your reasoning.