Question

You have two number cubes. One number cubes has face (1,2,2,3) and the other has faces (1,3,4,5) Let X be the product of the numbers on the two number cubes after rolling. Find the probability distribution for X.

Answer 1

The sample space of number cube 1 = {1,2,2,3}

The sample space of number cube 2 = {1,3,4,5}

X is the product of the numbers on both cube

The probability distribution (sample space or possible outcomes) from the product of both number cubes is shown below;

Therefore, the probability distribution for X from the table above is;

X = { 1,2,2,3,3,4,5,6,6,8,8,9,10,10,12,15}