Two balanced dice are rolled. Let x be the product of the two dice.

Question

3.1. Construct the probability distributions of x.

Answer 1

1,1 = 1
1,2 = 2
1,3 = 3
1,4 = 4
1,5 = 5
1,6 = 6

do the same for 2 all the way to 6.

To do the prob distrib. take the total number of products (should be 36)

1, 1 = 1 happens only once 1/36