You roll one blue die and one red die. Both dice are fair and six-sided. If the blue die results in an even number, let X be double the result of the red die. If the blue die results in an odd number, let X be the result of the red die. Find the range of X and find the probability mass function of X.

22.) You roll one green die and one purple die. Both dice are fair and six-sided. If the green die results in an even number, let X be double the result of the purple die. If the green die results in an odd number, let X be the result of the purple die. Find the range of X and find the PMF of X. (hint: use knowledge of PMF to solve.)