Two dice are tossed.
(a) Let X₁ be a random variable that is numerically equal to the total number of spots on the up faces of the dice. Construct a table that defines this random variable.
(b) Let X₂  be a random variable that has the value of 1 if the sum of the number of spots up on both dice is even and the value zero if it is odd. Repeat part (a) for this case.