What is the probability of rolling two fair dice and

We want to roll two dice and have the dice show distinct (different) odd numbers.

For the first dice roll, we have 3 possibilities: 1, 3, and 5.

For the second dice roll, we have 2 possibilities: the two odd numbers that weren't rolled the first time.

So for each of the 3 possibilities for the first dice roll, we have 2 possibilities for the second dice roll. This gives 3 * 2 = 6 possibilities in total.

We can write out the possibilities to confirm:

1st: 1; 2nd: 3
1st: 1; 2nd: 5
1st: 3; 2nd: 1
1st: 3; 2nd: 5
1st: 5; 2nd: 1
1st: 5; 2nd: 3