2.We have a die that is numbered 1 – 3 with two 1’s, two 2’s, and two 3’s. Let’s assume it is fair (each side is equally probable) and that the die is rolled 3 times. And, let’s assume that the 3 rolls are independent. Let X, Y, and Z be the outcomes of the first, second and third rolls, respectively.

a.What is the probability distribution of X+Y+Z? That is, create a table that contains each unique possible value of X+Y (each value only listed once) and each possibility’s corresponding probability.

b.What is the probability that X+Y+Z is greater than or equal to 7?

Question

2.We have a die that is numbered 1 – 3 with two 1’s, two 2’s, and two 3’s.  Let’s assume it is fair (each side is equally probable) and that the die is rolled 3 times. And, let’s assume that the 3 rolls are independent. Let X, Y, and Z be the outcomes of the first, second and third rolls, respectively.

a.What is the probability distribution of X+Y+Z?  That is, create a table that contains each unique possible value of X+Y (each value only listed once) and each possibility’s corresponding probability.

b.What is the probability that X+Y+Z is greater than or equal to 7?