Finite Question

Question

 Assume that the die is rolled 3 times. If the result is odd, a 0 is recorded. Otherwise, the number is recorded.

How many possible outcomes are there in the sample space?

Answer 1

For each role of the die, the outcome is an element in the set A={0, 2, 4, 6}. So the sample space is the cartesian product AxAxA which has 64 elements.