Consider the following statistical multinomial experiment. Toss two dice three times, and record the outcome on each toss (resulting in a discrete number of outcomes, 2 through 12.). What is the...

Consider the following statistical multinomial experiment. Toss two dice three times, and record the outcome on each toss (resulting in a discrete number of outcomes, 2 through 12.). What is the expression for the density of the random variable. Also show that it defines a probability distribution.